2-4 beating aces

Last night I was playing cash game, and I received Aces in the cutoff, I raised 2 blinds and the BB (LAG player) gave 3-bet for 8 blinds. I just called to hide the strength of my hand.

the flop came 486 rainbow, he gave C-bet 8 blinds and I raised 3x, he called.

The turn came a queen, he checked and I checked behind.

River came another 4, he checked, I bet 20 blinds, he thought for a moment and gave all in, I thought and I called. He showed 2-4 suited and I lost the pot.

As he was a LAG player, I thought a fold was out of the question, plus I was just losing to 4-X, 5-7, 6-6, 8-8, Q-Q. What would you do?

Maby you agrsive player and hi dont blive your bet an for take your bolf do 3 bet
When flop came 4 he stik the pot
I think you juust loos to bad plyer and luck
Eny body if was in your position do like you go to allin
Somtime happent you can run of loos

It can be very annoying to have your Aces cracked, specially against a hand like 2-4. First, I would bet stronger pre-flop and, after his 3-bet, I would 4-bet (maybe all in, depending on both players' stacks). Your raise at the flop was good enough. At the turn I would bet again. By the river, if hasn't given up by that time, a check behind would be ok, because you have showdown value and the hands that would call your raise are all beating you, except for, maybe, a QX.

The point I'm trying to make is: it's dangerous to slow-play Aces. Usually I try to make people face hard decisions to keep playing against my Aces, since I don't want a bad beat on the river.

I've been burned too many times by slow-playing aces against LAGs. If my opponent 3-bets, I'm 4-betting. In cash games, unless we're both over 100BB, that's usually an all-in.