Question on counting outs

[Koss]

Here's a situation I find myself running into frequently, and I'm wondering how to handle it. Say I've got AQ in the SB, a couple limpers, I raise BB calls, limpers call, 4 to the flop. Flop is something like A82 rainbow. I bet, 2 calls. Turn is a 3. I bet, now the BB raises. I know that my hand has a very slim chance of actually being good here, but how should I proceed? He could have a set, straight, or any 2 pair. How many outs do we value our kicker, another A, or the board pairing in this spot? I know that overcards are usually counted at 1.5 outs each. Here we've got a similar situation where we might have some outs, but no idea knowing which cards those are. With the exceptions of monster pots I've usually been folding the river UI, and calling a bet when I make aces up or better. Assuming standard fairly loose non-tricky opponents here, how many outs do you give yourself in these spots?