No reads, button limp, call a BB raise?

For various reasons, I don't see any sane player playing 22, 44, QQ, Q4, Q2, or 42 this way. Or AQ for that matter.

I've seen guys play AA this way. They are probably mostly losing players but I've seen it many times.

This more likely seems like JdTd or QcJc "needed to see the flop"

I'd probably call here. Huge overlay in the pot considering all possibilities I think you win 50% here at showdown.