Finally got around to this, here's the hand.

weaktight | Hand Poll | AA - $0.05/$0.10 No Limit Holdem

Opponent is an unknown, I know that it's impossible to bet 2x pot here but I'll do the calculation for a shove.

1/2 pot continuing range {J8o+, 88-TT, A4o} 79% equity.

Pot {J8o, JQo+, 88, A4o} 62.5% equity.

Shove {J8o, JKo+, 88, A4o} 50% equity.

I included A4o to account for the possibility that he may slow play a turned straight but sets probably raise before the river. So I think that 3/5 pot is a good compromise size since most Jx will still call.

Comments appreciated.