The tight reg who checks the flop to you in position after calling preflop is not trapping. He missed or he's got a weak pair he doesn't love. This is a c-bet spot almost every time.

Why they do it

Tight regs at $1/$2 are straightforward. When they have something they bet it or they check-raise. A check-call on the flop in position after missing is them giving up quietly. They're not setting you up. They just don't have it.

The adjustment

C-bet almost any flop here. Size it appropriately - you don't need to overbet. A half-pot c-bet gets the job done against a tight reg who missed.

What it's worth

Passing on c-bet opportunities against tight regs who check to you in position is a consistent leak in small-stakes games. These are free pots you're not taking.