There is no right size sail Ed. 2.77 isn't much to go on but I'm guessing it's 103l if it's an older board. it will also be narrow 56cm.
If it's sinking on you I guess you're like me no lightweight (85kg) and therefore you are talking planing conditions just to get up and going.
Everyone is different it all depends on
#Your skill level.
#Your weight.
#Your strength.
#How mad you are.
As a VERY general guide
I have a 103 Mistral Naish it needs 14-15kt winds with a 7/7.5m sail, to get up and off. It will work better in 15-25kt with smaller sail probably down to 5.5. Bigger winds it will handle but it will start to become a handfull and then it depends on how good you are and things like water conditions (wave size and direction)
Waterstarts become a must as the narrowness/length start making uphauling a pain.