I think in the end AA will realize that the best way to make this team better (short of spending money on free agents) both for the short and long term might be to trade one of Bautista, Encarnacion, or Reyes. These three have the most value on our team, and would bring in the greatest return. If we're looking to fill our holes in the rotation, catcher, second base via trade (which AA has said will be his primary avenue), and you don't want to touch the roster, you're probably looking at trading Aaron Sanchez, Marcus Stroman, Dan Norris, and more. If you trade Bautista, Encarnacion, or Reyes however, you would be freeing up 14mm-16mm in salary and likely adding 2-3 good young pieces, at least 1 of which should be ready to contribute right away.
Hypothetically:
Bautista to Cardinals for Miller/Wacha + Wong/Carpenter
Use the payroll flexibility to sign Ruiz/Choo + Tanaka/Garza/Santana/Ubaldo
Texas for Holland + Odor
Use the payroll flexibility to sign Ruiz/Choo + Tanaka/Garza/Santana/Ubaldo
Pittsburgh for Walker + Glasnow
Use the payroll flexibility to sign Ruiz/Choo + Tanaka/Garza/Santana/Ubaldo
Arizona for Prado + Skaggs + Miley
Use the payroll flexibility to sign Ruiz/Choo + Tanaka/Garza/Santana/Ubaldo