If that is on your radar, keep in mind that both the EC/EOS and CRW are at McGuire as well. That includes all of your air advisor, contingency response, AOC, and combat training positions, as well as the EC A-staff. Many of those positions are API-6/8 slots too. A good friend graduated ASAM a couple years ago and then rolled right into AMCTES (also at WRI) and is about to pin on O-5. Granted, the flying in those attached positions is essentially quarterly if you don't fly the -10 or -17, but it is an option as well.
One aspect of ASAM that is not well known is that the EC commander (2 star) personally works your outplacement, in conjunction with the EOS commander (O-6). I know this is a bet on things aligning in the future, but you can and should be very frank with them on what is best for you and your family. Scott and Ramstein are the most common outplacements from ASAM, but with a DT co-chair directly working your follow-on, your probability of success is pretty high to get something else more in line with your hopes/desires.