[CAPSLOCKFTW]

I don't know why you think his range is so heavily skewed towards JTxx. A lot of the time he just has some random hand he peeled with which we have a lot of folding equity against. I don't think the fact that we have the ace of hearts affect it as much as we may think. Last time I checked people had no problem check/calling queen-high flush draws.

also you realize you're putting him on solely QJTx if you check right? Because if you think he might get there with JTxx you should bet again for obvious reasons.