Honestly - find out which of your Jrs. and Sophs. will have the most chance for improvement, and play them the most, because you're not winning many games with that bunch. I know that's not the answer you wanted, but when I pick up these kinds of teams, I just take my lumps the first year and give PT to the underclassmen that have the most room to improve.
If you don't want to go with that advice, your best roster to attempt to win immediately is
PG Ross, Andre, Johnson
SG Fernandez, Howard, Johnson
SF Schultz, Boyd
PF - Robinson, Alfonso
C - Canavan, Scharf
Don't play Finnegan.