KK vs flop minraise

[Mark1808]

Live $5 $10
Effective stacks $465

I raise $40 first in with KK and am called in 2 spots. pot - $135

Flop is 5-6-7 rainbow and I lead for $100. Loose, passive inexperienced type player min raises to $200.

I have $360 left. Push or call?

I call, turn 7, I check and villan bets $100.

I call, river is 3rd 7 and I check call $125.

In retropsect I feel villan does not raise draws or for information but only for value. Villan also calls light so could think an over pair is good. Appreciate any comments.