[shant]

Why are we putting a bunch of limpers on a Qx hand on a Qxx flop? Why would someone with Jx call you on this flop with no draw and no pair and an overcard out?

If the flop gets checked through, you shouldn't be too happy because you're putting yourself into a close decision on the turn where you might be only getting 3-1 to call a turn bet.

Also, why do you underestimate that people will fold in an unraised pot with a pretty drawless board?

I think checkraising is a bad plan since you can't count on anyone to bet. Also, checkraising and then check-calling the turn allows your opponent to play their hand perfectly.