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?

What is your unit advising you to do? They must have said something.

What's wrong with 19D.

Lots of "get AASLT and then try ABN" responses...
What good do those schools do a Tanker?!?!?
This is why the army has problems. We claim certain schools are immediate promotion for anyone.
What does a tanker with jump wings say to me? Someone either didn't get Selected, or messed up in a job where ABn matters and got stuck as a K.
It sucks, but it's the life of a tanker, sit in your unit until you can be a MG, or reclass.
Some MOS just don't need/get "high speed" schools.

We need to be smarter as an Army, and promote people being good at their MOS, not wasting time/money/and slots sending every junior enlisted to AASLT, ABN, and Ranger unless they may actually use those courses in warfare.

18 years, plenty of chances to go Ranger, but didn't because a 19D, 38B, or 170B doesn't need that to do their job, there's more useful schools.

Not much for Tankers besides MG and you're only a PFC (which rules out a LOT) Now if you're looking to change MOS, there's a few that take packets and your unit has nothing to say about it. So option 1:reclass to packet MOS
Option 2: sit, wait, be a tanker who hates his life (lots of that going around)
Option 3: sit, wait, be a tanker who hates his job but knocks out a bunch of college (in a decent major, don't do early Siamese literature or Communications, or criminal justice like lazy ROTC cadets).
Option 4: basic troop schools at your post such as: armorer, bus driver, rcied/cuas, digital MG, security+, etc..
Option 5: be a nug gym rat who's too heavy to casevac

That should about cover it.

Scuba school or airborne

Talk to your carreer counselor, if hes a good NCO he will guide you into a promising field, look for a field that will benefit you if you decide to get out. YOU as a soldier has to do whats best for you and your family, if youre married talk to your wife and see what her thoughts are.
Good Luck in all you do

let your asfab scores lead you to what apears to make sense

Take the Combat Lifesaver School. Medics always appreciate competent help.

If you plan on making the Army a career then you should diversify with a MOS in Combat Support or Combat Service Support. You will have more opportunities for assignments and promotions with more than one MOS.

As a former 19K I agree with whats been posted so far and will add that unless you're making the Army a career get in as much College as you can. Due to gunnery, ftx's, duty battalion, etc.. It took me years to get my Masters and Bachelors. Find something those degrees are actually good for on the outside because there's not much call for former tankers.