jamming J7 def nottt good, it will certainly be more profitable to check and even if jamming is marginally +EV, you don't know what villains limping range is and if it contains hands that are calling you you're so beyond fucked.
you're better off jamming a hand like 87s fwiw
also I hate leading this turn without also following up on the river... you have little fold equity on turn and as a default villains range is weak/capped but showdown bound (hands like overs, gutters, pairs worse than 8 all in his range) after checking this flop texture, so you either need to check and see sd or bet with the intention of betting a ton of rivers (I don't think you should shove on an ace, or board pair)
its possible he can slow play some nut combos and you will run into that from time to time but thats an exception rather than the norm so when you see that happen, take a note and use it to help build a better picture of how that player thinks about poker. there's a good chance you won't see the guy again because its micro stakes but if you do that knowledge is very useful + building this habit into your game will help you a ton when you start moving up and playing against a smaller pool.
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