If you say, let's split the money. Everyone will want to play in the bigger arena or the biggest team possible and we would have another problem.
Your fans are strange, - -?
Perhaps it should be wise to make scrimmages worth something in terms of income, let's say around $10k. To get the economy balanced, this could be compensated by dropping $10k from TV money. The economy would remain balanced, newer teams wouldn't tend to think that scrimmages are useless, and teams that don't see scrimmages are a total priority (and sometimes don't set one) would be compelled to look for scrimmages every week, since if they don't they will lose money.