just because your off to sell your kidney in Thailand does not mean you will have lots of money in Buzzerbeater. :p
So dilema for you. You wont be able to book any scrimmages, so that makes it also more interesting.
Set your default lineup such that player X is the starting, bench and backup for game 1 in position 1
and then player Y is starting/bench/backup in position 1 for game 2, and that way, 2 players should get 48 mins all the time.
That way, you can train one position.
Personally though, i would train 2-position training method, like rebounding, or 1o1. Set a standard lineup and just hope for the best. your two guys i mentioned above iwll get 48 mins most of the time, plus some extra players will get minutes in the other position.
unrucky bout the trip away. enjoy though.