With the upcoming drawdown, is aviation a viable Army career choice?

You are going to be applying for 153A Rotary Wing Aviator I assume, and from what Im hearing from my peers this is again the time to apply for Warrant Officer.  Im not sure how accurate that is since I cannot see the strength but I wouldnt wait.  Begin studying for the SIFT (Build your helicopter knowledge, Dyssymetry of Lift, Retreating blade stall, learn instruments and gauges, Math (theres a lot)), and begin working your resume.  You need to link up with a Warrant Officer who will work with you through this process so you can have a strong packet with a good chance of being selected.  Since you are currently at BAF, there is a Combat Aviation Brigade stationed there with you, and you shouldnt have an issue linking up with one.  Best of luck. 

You may want to consider a reclassification before looking for SGT. If you want to enter aviation as an enlisted Soldier you need to be a SPC or below that is not promotable. If you are picked up on a warrant packet it will not matter what your rank is, but if you are interested in joining aviation overall you cannot be promotable and re-class (the last I looked, check with your re-enlistment NCO for the most up to date policy).