Let the word get out that you're not very outgoing. Tell one or two dancers at the tip-rail, that you are the sort of guy who wants to really be approached in a serial manner by every dancer in the house. Each dancer has her own clique of friends, so if you communicate this notion to a suitable cross-section of clique membership, you'll be identified as someone who is not going to be super-rejection-heavy.
Beware. This strategy has the obvious disadvantage of causing all the dancers in the house to assume that you want them to approach you.
Generally speaking, each end of the spectrum has advantages and disadvantages. If you hate it when any girl approaches, and you send that vibe, on the occasion when the super-hottie whom you wanted to approach ends up ignoring you, then you have only yourself to blame. If you hate approaching and want every girl to do the approaching, on the occasion when the dogtrot messengers whom you wanted to ignore you end up approaching, then you again have only yourself to blame.
In fact, the please-approach-me vibe is not unusual in a strip club. That's part of the appeal for men, we are less expected to take the initiative and at least some of the onus is put onto the women. This is unlike at civilian meet-ups where the social expectations are, that any male who fails to approach is by definition both a bad catch and bad at catching (neither of which is logically a necessary conclusion, but we socially assume them anyway).
Additionally, I might add, one of the main reasons I end up chasing after some women in strip clubs, is in order to avoid other women. In a room of twenty quasi-hot women and five uggs, I'll probably corral one of the quasi-hotties as self-protection. The uggs are going to be the most pro-active about approaching. And, in line with the male social-expectation (see above) they will often, quite wrongly, assume that because they are being forward and pro-active, they are therefore defining themselves are more desirable. Problem is, it doesn't generally work that way (at least not for me). When a dorky male becomes an approach-monster dorky male in a civilian club, he generally is accomplishing at least a mild reduction in his undesirability merely by the fact of making an approach. "Points for confidence," the girls say to themselves. To the contrary, when a visually unappealing female becomes an approach-monster visually unappealing female (in a civilian OR strip club) she is not generally accomplishing a mild reduction in her undesirability. Instead, by the fact of making an approach, she is probably becoming MORE undesirable, generally speaking. "Even more loss of points for arrogant self-congratulation in the face of obvious evidence to the contrary," the boys say to themselves. It's the "fat girl in mini-skirt that was designed for skinny girl" phenomenon. Sure, some guys give positive points to the ugg because of her chutzpah, but that's pity points, IMO.
Just some thoughts. You may disagree.
Approaching strippers is really quite easy. Reach out and touch someone.