I am a tanker who’s unit doesn't currently have tanks.So my unit is encouraging me to attend a school. What schools should I consider?

You can't go to Airborne School, you're not in an Airborne unit and your MOS generally isn't Airborne anymore.

Dont go to Ranger School, you'll get dropped because you have no clue what you're doing and your unit probably doesn't have a decent Pre-Ranger program for people like you.

Don't go to Sapper school, again, you have no idea what you're doing and your unit lacks an adequate trainup.

Air Assault school is a good base level, introductory school that has several locations, isn't hard to get, and they will teach you everything you need to know upon arrival.

Bus driver, fork lift operator, UPL, Field sanitation are all valuable skills that will be worth promotion points when you're trying to become a SGT/SSG and will make you an asset to the unit.

Most importantly, if you have time, start your college education

Okay Young Tanker, here is a story for ya… Summer of 93 my CO end up pinning another ARCOM on me for excelling at something and says something to the effect, “Sergeant Mac we have given you a couple ARCOM’s, a couple of AAM’s, the CG award and we got nothin else… do you want to go to college?” I told him I would, but I’m not eligible to reenlist for a few more years (at the time to go to college was an reenlistment incentive)… and he cut me off, sayin “I didn’t say anything about reenlisting, I said do you want to go to college!” When I said yes sir, he then told me I needed to get enrolled ASAP.
Well my TC, PLT SGT and all the way up my chain, figured I would head over to the education center and sign up for an 8-week semester with Central Texas College, right on Ft. Riley. When I showed up a week later showing that I was enrolled for 16 credit hours at Kansas State University in Manhattan, KS, I’m pretty sure the common phrase was “oh you sneaky little bastard”. Granted, I did have to kiss the backside of the Dean of Admissions just to get in, but 13-weeks later I finished up with a 3.8 GPA and made the Deans list.
The following year I got stationed in Korea for a year and knocked out another 86 hours via Saturday classes at Camp Casey and correspondence courses. All of this didn’t make me a better tanker, but it did set me up for future endeavors and made me really good when it came to playing trivia crack.

I've been stationed at Bliss in 1st AD, land of tankers. I've seen one 19K with jump wings. We're good friends but I think he managed his slot in his contract. Unless you plan on a reclass, you won't be much use to the airborne community as a 19K, from an objective standpoint. SFC (Join to see) made excellent points so I won't reinvent the wheel. I will say though, in addition to the schools he mentioned, if you can swing a HAZMAT course take it.