In the last two weeks my big pairs have gotten absolutely trashed by people calling my 3bets and hitting their set. What's the best line to take when playing AA in/out of position given normal stacks in full ring.

2 examples.

No-Limit Hold'em, $2 BB (6 handed) from (Format: FlopTurnRiver)

saw flop|saw showdown

Hero ($200)
CO ($302.75)
Button ($311.20)
SB ($246.20)
BB ($469.40)
UTG ($352.40)

Preflop: Hero is MP with A, A.
1 fold, Hero raises to $7, 1 fold, Button raises to $24, 2 folds, Hero raises to $82, Button calls $51.

Flop: ($160) J, Q, 4 (2 players)
Hero bets $125 (All-In), Button calls $125.

Turn: ($410) J (2 players, 1 all-in)

River: ($410) Q (2 players, 1 all-in)

Final Pot: $410

Villain had 4 Jacks

On the flip side, if I slow down, I give my opponent all the chances in the world to slow down and beat me, and I never know if I'm ahead or behind. Waddado?

$2 BB (9 handed) from (Format: FlopTurnRiver)

saw flop|saw showdown

Button ($214)
SB ($302.80)
BB ($197)
UTG ($125.20)
UTG+1 ($200)
MP1 ($45)
Hero ($308.50)
MP3 ($204.40)
CO ($220.55)

Preflop: Hero is MP2 with Q, Q.
3 folds, Hero raises to $7, 2 folds, Button raises to $15, 2 folds, Hero calls $8.

Flop: ($33) 4, 8, 9 (2 players)
Hero checks, Button bets $24, Hero calls $24.

Turn: ($81) 2 (2 players)
Hero checks, Button checks.

River: ($81) 4 (2 players)
Hero checks, Button checks.

Final Pot: $81

Basically, what's the best strategy to avoid getting stacked by set miners? Should I be aiming to play medium pots with big pairs? It seems hard to do that if I'm 3betting preflop.