It does make sense Palanion - and I think it will work.
Mr. BB World makes a great point - we will obviously need and want to alter bids based on who else is currently on the block - and that could get tricky.
We either say "Damn the torpedoes" - lets' live with that issue
OR
Another solution would be to only run 2 snakes at once - one P and one Hitter, which obviously slows down the process.
Best solution may be to say if you lose out on Dimaggio and Mays in that scenario, there are lots of other CF's in the sea...