I prefer to bet/call all day here, we have so much equity and this flop has a lot of check/raise tendencies so i like to bet causing the x/r range go for it and we can extract full value.

I dont think check is wrong, but this much equity is better to just bet, i think when you check flop and an overcard or spade comes, sometimes its gonna kill the action meaning that hands that could get in on the flop, will now play more passive on turns that hit us and we wont extract that much value anymore unless its a cooler.

Against two player at these stakes betting the flop is absolutely fine. Depending on BB's tendency/stats/history you could opt to just call the flop bet and evaluate on the turn, but getting it in on the flop is absolutely fine.

Even against a fairly strong range you're flipping:

Board: 8s 4s 3c Dead:

equity win tie pots won pots tied Hand 0: 49.127%
49.03% 00.10% 20387 40.00 { AsKs } Hand 1: 50.873% 50.78% 00.10% 21113 40.00 { JJ-88, 44-33, A8s, QsJs, QsTs, JsTs, Ts9s, 7s6s, 6s5s, A8o }

If you think villain is ever min-raise/folding the flop then shoving will be great, if not it is up to you to decide whether you want to flat or still shove. Either way it likely won't be a mistake.