What are common bases or specific units for 92As?

No base is going to cater to 92A. You're an E4 92A you're not going to get a job at a logistics hub until you're a senior NCO. Your primary job right now is to develop your Soldier skills and understanding your job. Further down the road you will focus on more advanced skills and certifications. Your MOS's sticking point for promotion is making SSG. It can take years for a 92A SGT to make SSG. If you don't work on your Soldier skills now you will never make enough points to to make SSG.

Pick a location that you would like to work at. You don't get to pick the unit or which battalion you'll end up in. There are 92As anywhere you have combat units, pick two or three of those posts and stop looking for unicorn assignments or the good assignments will be taken.

Fort Bliss, TX, Fort Hood, TX, Fort Riley, KS, Camp Younsan, Korea, Fort Irwin, CA

As a 92A30 E6, go where no one wants to go and shine. That's how you'll find the unit that caters to a 92A at any level. Go there and recycle the garage no one wants to handle. You'll make your career easily. Work hard and take ownership of the AO that your assigned. Don't choose a location based on "everyone wants to go". Most likely the place that no one wants to go, the hardship/operational ones will have less alpha's and more opportunities/skills/awards for you to acquire.

Sir, with respect, a 92A can go just about anywhere. Your question of a base catering to your MOS is the wrong attitude, in my opinion. The question should be where can you serve most effectively? You have had the training, probably at Ft. Lee so you have the tech skills so what are some things that interest you? Wherever you choose serve well.