I tried a fullbody MWF and doing power cleans and snatch T-Th last summer and it didn't go very well. After only a few weeks the cumulative wear and tear on my shoulders and low back which were getting hit essentially everyday caught up with me and I had to stop. Maybe you're young and your joints could take it, but mine couldn't.
I think some bodybuilding stuff would work though.
You also could use those days to do all the foam rolling, stretching, dynamic movements, BW stuff, sled work, etc. to aid in your recovery that most people often don't have time for.
My .02. Good luck.
I am Anton Zdravko Martin!
Best meet lifts: Sq 150 Kg (330 lb), Bench 120 Kg (264), DL 160 (352) @89 Kg (197)
Best gym lifts: Sq 375, Bench 280 (pause), DL 385 @205 or less
Goals beyond my wildest dreams, 600 Kg raw total, 200/160/240
Hack away at anything which isn't essential. Do what you love, and do it often. Fazc.