bid potential?

Your chances are pretty close to the other 800 rushees with your same stats. Last year there were a little more than 2,000 rushees, and another 800 had your same stats except they had 4.0s and above.

Seriously, there are LOTS and LOTS of rushees with the same qualifications or better. Being from Washington is the difference, and yes, it will affect your recruitment because you simply won't know as many girls in the houses.
That said, if you stay open to any house - don't decide that you'll ONLY accept bids from certain sororities - you have a very, very good chance of pledging.

Pretty high GPA and scores for typical Alabama admittance, unfortunately that is not the only thing in play.

Perfect SAT score, and you're going to Bama? I know it's a great school, and we give great scholarships for outstanding students, but why not Ivy League or something better? Just curious.