Unknown villain. No idea how to play these spots in terms of line/sizing.

Usually oop on monotone textures you check at high frequencies, size significantly down or even a combination of both... that being said there really isn't anything wrong with betting a set on the flop especially if you think your opponent might be passive when faced with checks... Though if you were opting to be betting at higher frequencies with this logic, then I would be continuing to bet turn/river sizing up and attempting to get it in. As played on the river it's a 6.32 pot with around 7.00 behind which is a bit awkward.

If you think your opponent can ever be aggressive vs. checks with weak pp or hands like AQhx then I'd prefer checking somewhere. I only prefer betting out three streets if you think he won't be bluffing into you at reasonable frequencies and then I'd still be sizing up slightly ott and jamming river myself.

1/3 might be a little big, maybe 1/4 is better. I probably always cbet sets/2p though, I'm not letting a heart come out for free.

If I don't get raised, I probably start chunking to get stacks in OTR.

I feel like I see very little bluffing on monotone boards like this. Which always makes me worry about facing aggressions, particularly raises. I guess we can't really be considering folding sets in this spot anyway? 100bbs deep, 3b pot?