This is a gross spot. I think this should be a shove or fold spot. Calling sucks pretty hard, especially since villains likely FD flop raises will be combo draws that will jam a brick turn anyhow.

I would assume, given villains sizing, that we have zero fold equity. So you can pretty much treat this as if villain shoved, and we are calling his shove.

I think the total pot is 12.34 and we're faced with a 9.08 call, so we need about 42.4% equity to shove here (assuming no fold equity).

My estimate of ranges is something like:

Equity Win Tie
MP2 25.37% 22.79% 2.58% Td9d
MP3 74.63% 72.04% 2.58% JJ-99, KQs, QTs, JTs, T9s, AsKs, AsQs, QdJd, QcJc, As9s, As8s, 9s8s, KQo