You may feel recovered, but you aren't. Neural recovery is something that's practically intangible (In the short term anyway).
If you wanted to use some heavy weights but accumulate a lot of volume you could use short rest intevals. For example, you could do 10 sets of 1 repetition using 45 second rest intervals or something like that. I just pulled those numbers out of my ass, and I don't know how well you would be able to keep that up, but I have done 8 sets of 3 repetitions using 60 second rest intervals before. It's a good way to get enough volume to stimulate hypertrophy while using heavy enough weights to invoke neural adaptations.
Hmm, now that is a fucking awesome idea..
