Hand 1 You really should c/r the flop. I understand you're concerned that you look strong doing this but 99% of players are gonna pay you off with pretty bad hands. If you do find this player is playing very tight postflop, you can just start c/r bluffing him and going crazy. Because if you felt you couldnt c/r a set here for value it means he's playing so tight that bluffing anything would be good.

Hand 2
This is kind of a weird spot because i could see a player checking this flop with AA or some nut hands and then slowplaying. I'd be much happier if he bet. Just a weird hand, i expect to be behind a decent amount of the river i may not fold though. I think you should consider checking the flop.