I'm not particularly alpha, and I can't even think of the last chick who made me wait more than one or two dates to get in there. Honestly, of the 15 or so chicks I hooked up with in my mid 20's to early 30's prior to settling down with the current special lady friend, the majority banged on the first real date we went on (many I had met previously either from ski trips, at parties, or through friends). And they were all classy bitches, for serious. Well, one was a skank, but just one.
You really need to stop convincing yourself that there's this magic formula that works in all situations, or that all chicks can be neatly categorized in to only a couple subsets. That's just not reality.