There is a pilot shortage right now on active duty due to Force Shaping. A lot of dudes punched out these past couple of years... Palace chase is a pipe dream right now. Nevertheless, if interested, check out the AFPC website and look under Force Shaping. There is an excel spreadsheet they use, that breaks down AFSC's by year group and show's over/ undermanning by commissioning year. If your year group is in the positive, then you have a chance. If its negative, then don't even waste your time.
As noted, FS is only for 2005, and I believe it's suspended for the rest of the year, i.e. they met their requirements. I'm not certain of this, but believe it was posted on the website. If so, then traditional Palace Chase is the only other option; which isn't an option until you have 2/3rds of your commitment fulfilled.