7S: overplaying Aces up ?

Tournament - HORSE - 7 Card Stud High - Level IV (60/120), Ante 12, Bring-In 18 (converter)

Seat 2: 1,002
Seat 3: 1,004
Seat 4: 2,726
Hero: 3,080
Seat 6: 1,844
Seat 7: 3,864
Seat 8: 880

3rd Street - (1.40 SB)

Seat 2: xx xx 5 ___calls___calls
Seat 3: xx xx 3 ___folds
Seat 4: xx xx J ___folds
Hero: 7 A A ___raises
Seat 6: xx xx K ___calls
Seat 7: xx xx 2 ___brings-in___folds
Seat 8: xx xx 4 ___folds

4th Street - (4.70 SB)

Seat 2: xx xx 5 T ___raises
Hero: 7 A A 9 ___bets___calls
Seat 6: xx xx K Q ___calls___calls

5th Street - (5.35 BB)

Seat 2: xx xx 5 T 8 ___checks___calls
Hero: 7 A A 9 7 ___bets
Seat 6: xx xx K Q K ___checks___calls

6th Street - (8.35 BB)

Seat 2: xx xx 5 T 8 7 ___checks___calls
Hero: 7 A A 9 7 J ___bets
Seat 6: xx xx K Q K 3 ___checks___calls

River - (11.35 BB)

Seat 2: xx xx 5 T 8 7 xx___checks___folds
Hero: 7 A A 9 7 J A ___bets
Seat 6: xx xx K Q K 3 xx___checks___calls

Total pot: (13.35 BB)

I dont give seat 2 credit for much of a hand, he seemed like a weak player

However after reviewing the hand I am not sure if betting 5th and 6th vs a pair of K (one of which was the door card) is the correct move in a tournament

My first impression was to 3-bet 4th street and get heads-up against Seat 2, but after thinking about it for a minute I think calling is probably best. His 4th street play almost always means he has (T 5) in the hole, and so you'll typically need to make at least aces up to win the pot. When that happens, you'd prefer having Seat 6 in the hand.

I think the rest of the hand is standard. When people pair their door card in this situation and actually have trips, they almost always just lead with it. When they check, you're usually against a passive opponent who started with some type of a drawing hand on 3rd and checks because he doesn't think his kings are good. So I would just bet the rest of the way for value, and consider folding to a raise at some point.