Well, just done my sums based on a timetable that I created but haven't sent to GNE as it would only work with StreetDecks. 

Basically, if StreetDecks were to work the 310 with the 5x X39 runs thrown in (1x continued to remain a car working) as well as some early morning and evening 309 journeys, the total BSOG grant payable for the Monday to Friday journeys would stand at £120.59 @ 6p per KM.

Note: (E) means the bus operates via Norham Road North, then the exact same route as the 309 via Cobalt.

6301 Monday to Friday 130.7M/210.34KM @ £12.62:
310#0635 NORHAM ROAD NORTH > NORTH SHIELDS
310#0652 NORTH SHIELDS > NEWCASTLE HAYMARKET
X39#0754 NEWCASTLE HAYMARKET > COBALT VILLAGE HOTEL
310#0824 NORHAM ROAD NORTH > NORTH SHIELDS
310#0847 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0943 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1034 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1128 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1219 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1313 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1404 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1458 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1554 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1703 NEWCASTLE HAYMARKET > NORTH SHIELDS

6302 Monday to Friday 203M/326.7KM @ £19.60 :
310#0705 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0808 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0903 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0958 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1049 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1143 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1234 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1328 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1419 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1513 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1606 NORTH SHIELDS > NORHAM ROAD NORTH
X39#1635 COBALT VILLAGE HOTEL > NEWCASTLE HAYMARKET
310#1718 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1818 NORTH SHIELDS > NEWCASTLE HAYMARKET
309#1908 NEWCASTLE HAYMARKET > BLYTH
309#2018 BLYTH > NEWCASTLE HAYMARKET
309#2120 NEWCASTLE HAYMARKET > BLYTH
309#2216 BLYTH > NEW YORK

6303 Monday to Friday 130.7M/210.34KM @ £12.62:
310#0703 NORHAM ROAD NORTH > NORTH SHIELDS
310#0720 NORTH SHIELDS > NEWCASTLE HAYMARKET
X39#0824 NEWCASTLE HAYMARKET > COBALT VILLAGE HOTEL
310#0856 NORHAM ROAD NORTH > NORTH SHIELDS
310#0919 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1013 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1104 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1158 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1249 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1343 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1434 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1528 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1626 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1734 NEWCASTLE HAYMARKET > NORTH SHIELDS

6304 Monday to Friday 203.8M/327.98KM @ £19.67:
310#0736 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0840 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0934 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1028 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1119 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1213 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1304 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1358 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1449 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1543 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1637 NORTH SHIELDS > NORHAM ROAD NORTH
X39#1705 COBALT VILLAGE HOTEL > NEWCASTLE HAYMARKET
310#1753 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1848 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1935 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#2019 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#2105 NEWCASTLE HAYMARKET > NORTH SHIELDS
310(E)#2151 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#2240 NEWCASTLE HAYMARKET > BATTLE HILL JOLLY BOWMAN
309#2304 BATTLE HILL JOLLY BOWMAN > NEWCASTLE HAYMARKET
310#2330 NEWCASTLE HAYMARKET > NORTH SHIELDS

6305 Monday to Friday 144.3M/232.23KM @ £13.93:
309#0637 BATTLE HILL JOLLY BOWMAN > NEWCASTLE HAYMARKET
310#0703 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0752 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0856 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0949 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1043 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1134 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1228 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1319 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1413 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1504 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1559 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1657 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1808 NEWCASTLE HAYMARKET > NORTH SHIELDS

6306 Monday to Friday 226.4M/364.36KM @ £21.86:
309#0605 BLYTH BUS STATION > NEWCASTLE HAYMARKET
X39#0724 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0810 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0912 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1004 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1058 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1149 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1243 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1334 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1428 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1521 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1618 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1718 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1823 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1918 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#2005 NEWCASTLE HAYMARKET > NORTH SHIELDS
310(E)#2051 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#2140 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#2221 NORTH SHIELDS > NEWCASTLE HAYMARKET
309#2305 NEWCASTLE HAYMARKET > BLYTH BUS STATION

6307 Monday to Friday 210.1KM/338.12KM @ £20.29:
310#0639 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0735 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#0830 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#0928 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1019 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1113 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1204 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1258 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1349 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1443 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1538 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1648 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1759 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#1858 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#1948 NORTH SHIELDS > NEWCASTLE HAYMARKET
310#2035 NEWCASTLE HAYMARKET > NORTH SHIELDS
310#2116 NORTH SHIELDS > NEWCASTLE HAYMARKET
309#2200 NEWCASTLE HAYMARKET > BLYTH BUS STATION
309#2256 BLYTH BUS STATION > NEW YORK