Bottom Set Decisions on Flop & Turn - Monochrome Flop

1-2 NL, 400 max, I start the hand around 475. Loose-passive table with a couple solid players.

I raise 6c6s in the LJ to 12 over a +1 (~200) limp. CO (311), SB (102), BB (151), & limper call (pot 60).

Flop (60): QdTd6d. Checks to me, & I cbet 35. Thoughts on sizing? Do we ever check with bottom set here?