I hate recommending the guy, because he's an absolute pain in the butt to work with, but Wannabesports
will make a custom league rather cheaply. Here's
a link to his custom league page. It has these notes:
# Fees are negotiated on a league by league basis relative to the services required. Fees can range from $5 to $15 per team per season and discounts are encouraged for lump-sum payment. Services available include standard league and team management, special League Representative functions, Real-time / Daily Scoring, full-featured online Forums, chat rooms and more.
# You can form a seasonal, keeper, or dynasty type league. Franchise style, rotisierre style, or something different (homerun derby, eliminator contest, etc.). Weekly games or bi-weekly or daily if the sport can accommodate. The specifications are up to you.
He does very good work, and I don't doubt for a second that he could make a league that would do what you ask. However, he comes across as a very grumpy, old man. I would use him as a last resort. And whatever you do, don't tell you anything about me. We had a major falling out a couple years ago, and copious unpleasantries were shared by both sides.
Sorry I can't be of more help than that.