I feel kind of stupid that I've never thought to try to get better AAA this way... 

I've never really understood the concept of using AAA for any type of theme league. Whether it is below average, average, and especially above average. Whether the Salary Cap is $40M on up. Doesn't it just make more sense to give a little more Cap space to allow a little better player or one with a few more AB's or IP's than to have to have a AAA player fill the void?

Got my reward.

Squeaky wheel gets the grease len my boy!