I've dared to dream and predicted none Wolves results to the end of the season (We beat Arsenal and draw with Chelsea). This is what I got:
3 Man U 68
4 Leicester 65
5 Chelsea 64
6 Spurs 62
7 Arsenal 56
So assuming we won't have GD on anyone, points needed for...
3rd 18 (6 Wins)
4th 14 (4 Wins 2 Draws)
5th 13 (4 Wins 1 Draw 1 Defeat, although that can't be to Chelsea)
6th 11 (3 Wins, 2 Draws, 1 Defeat)
Man U and Spurs have some favourable fixtures:
Leicester - Palace, Arsenal, Bournemouth, Sheff U, Spurs, Man U (3,1,2)
Chelsea - Watford, Palace, Sheff U, Norwich, Liverpool, Wolves (2,4,0)
Man U - Bournemouth, Villa, Southampton, Palace, West Ham, Leicester (5,1,0)
Arsenal - Wolves, Leicester, Spurs, Liverpool, Villa, Watford (3,1,2)
Spurs - Sheff U, Everton, Bournemouth, Arsenal, Newcastle, Leicester, Palace (5,2,0)