6m PLO 

BTN 3x, Hero 10x SB Q865, BB fold, BTN ca

Flop T53 SPR 4

Hero pots.


So I have two questions about this scenario. 

1) At what SPR does EVcheck > EVbet? I'm guessing somewhere around the 5-6 range. Is there any way to find that out? Trying to sim the EV of check/calling scenarios is tough and simming pot/calling relative to check/folding seems unhelpful since check/folding is clearly not one of the viable lines in this scenario (usually).

2) Suppose we choose to check the flop and flop checks through. 

Who's range is favored more by the flop checking through and why? It seems like we both gain in a lot of different ways when the flop goes check/check, but I would guess that the player with the weaker range[1], BTN I believe in this case, gains more by having flop go check/check because he's going to get to realize a lot of the equity that we would force him to fold by betting flop.

OTOH you could argue that when flop checks through villain's range is more capped than ours, our equity becomes more robust since we can discount a lot of better flush draws and strong made hands from his range, and a lot of the time he picks up equity it will be behind our range as a whole. It also seems like villain is more apt to make mistakes when we check and keep his range wide (either by over bluffing or under bluffing some street) compared to when we bet and he just plays a fairly easy strategy of call X%, jam Y% fold Z% and doesn't really have to think about it too much.

[1] It also depends on how you want to define weaker range here.  While our range likely has more equity, villain's range will contain significantly more 2pr/set combinations than ours will.  So despite the pre flop 3bettor likely having more equity, btn's range is almost the stronger in the sense that it has more strong made hands on this flop than ours.