I would either lead here or go for a smaller check-raise. In these hand reviews I often complain about people check-raising to small, but here I think, its definitely to large. Its almost two times the pot, and I think, you are just getting a ton of folds with this sizing and only getting action, when you are beat or maybe against a very strong draw. And then he pile it in, which is another huge overbet of almost three times the pot.
I dont think, this is ever a draw, and even though it would be tough for me to fold in real time, I think, this is actually a fold. There is an old saying "never go broke in a limped pot", and I think, that applies here. The SPR is just so absurdly deep, because its a limped pot, and then you can basically only stack off the nuts.
Sure enough only 5 combos beat us here, but if these are the only combos, Villain can ever have, then we still need to fold. And I think, kind of the best case scenario here is, that he could have the same hand. Which would probably only be the suited variety, which there is only 1 combo of.
So realistically in my opinion Villain has 1 combo, we are chopping with and 5 combos, that have us crushed, and thats it. He dont have anything else. Ever. Not unless you have some read at least, that he is a totally crazy maniac. Which could be the case in a soft live game, and then this is just a whatever hand.
More importantly though if you had check-raised to a more normal size, or bet-called a normal sized raise, then the hand would have gone to the turn with a lot of chips left, and this turn card would surely have slowed the action down. So not playing so ridiculously fast would have given you a chance to get to showdown without going broke.