If you are stuck, there is no time limit, so you can actually take out a piece of paper and do the math.
By holding the 3 dueces, you are guaranteed 4OAK, so that is your floor, and you will hit that x number of times. You will get another wild royal x1 number of times, 5OAK x2 number of times, a straight flush x3, etc. (I can't remember if that's better than 4OAK).
There are 47 unseen cards, so take the total of all the possible payouts, and divide by (47x46/2). That answer is the average result of holding the three dueces.
I've found that if I work through it, I'm much happier if I don't make my draw, because then I don't have both the disappointment and the doubt.