Speaking from A LOT of personal experience with these transmissions, I highly advise you to get a new one/OEM rebuilt one. 

Modern transmissions are extremely difficult to rebuild and even guys who do them all the time make mistakes. Approaching the job as someone who has never done a rebuild before and with only jack stands in the driveway, your odds of success are virtually zero. 

If you just want to drop it out and open it up for fun, then go ahead. But many times on those, you crack it open and the issue isn't really as obvious as you might think. If you aren't sure what you're looking for on that specific trans, you may miss something that will cause you to tear it back down again once you install it and realize you still have a problem.

As far as taking out the engine without having a cherry picker, there's not really a good way to do it. They are heavy and delicate, if you can believe that, and removing an engine correctly pretty much requires the correct tools.

TL;DR: Get a new/OEM rebuilt trans and save yourself a lot of time, money, and frustration. 

unless you know exactly what’s broken

(for example: if it’d be a Hyundai Elantra and you’d say you think the wiring harness is shot - I’d say go for it)

This is not only something most skilled mechanic wouldn’t be able to do correctly, rebuilding these kinds of transmission isn’t something that gearbox techs can reliably do.

I’ve worked on some trannies previously, and let me tell you - 99.99% of people who try to do these things by themselfs end up breaking what was already left. Even skilled mechanics make a lot of mistakes (for example on the 6 speed Camry lots of places forget to replace the clutch baskets and the gearbox explodes when the poorly made basket just fall apart )

and let’s assume you replace the frictions, seals and solenoids, And it still doesn’t work right. you’d have no way of knowing if maybe your oil pump is worn too, If your TCM died, maybe the ECU is not issuing the correct commands - sadly automatics are almost impossible to rebuild when they’re at 180K-200k miles and there isn’t a single issue - it’s usually “the entire gearbox is worn out”

TLDR: if you want to do it for fun, and don’t expect it to work - why not. Just don’t get your hopes up at all… 

If going for a budget repair job you'd be better off installing a low-mileage junkyard transmission from a wreck than trying to rebuild that puppy yourself.

Here is some advice my Grandfather gave me when I was eight - "If you don't know what you're doing, don't do it."

First of all, if you still insist on trying this transmission rebuilding project you describe, … get yourself a transmission section from a correct, genuine service manual.

Second, park yourself on a comfy couch with that section, … study it. Study hard! And after, … say a week of study, you still think you can handle the job, … you probably should consult a psychopathologist.

F.S.

I would also not recommend rebuilding it yourself unless you're just wanting to toy with something complicated and "see how it works". I had the 4-speed automatic in my 1999 Ranger "professionally" rebuilt at a local transmission shop that's famous for the length of time they've been in business, and their "quality" work. It took over a year and 4 visits to get them to make the thing work satisfactory again. My initial issue was the truck would fight to go into and out of overdrive. I requested that they save the parts they replace. The overdrive planetary gears had crud jammed in between them. They would spin freely then bind up, and most of the friction plates were shot. They replaced the torque converter as well.

About a month later it got freezing cold, and the truck would slam from 1st into 2nd intermittently on the first upshift starting cold. They claimed they couldn't find anything wrong. The problem was less noticeable in the summer time, and when we got the next good cold snap, the transmission threw itself into 2nd so violently it felt like someone rear ended me. Once the truck was warm, it shifted fine. I sent a displeased email to the company and they swapped out three valve bodies before "fixing" the problem. I still intermittently feel a harder shift when it's downshifting through 2nd, but have had none of the other issues. Wish I had found Scotty before that initial visit, I would have bought a remanufactured unit in a heartbeat.

I wouldn't seriously mess with rebuilding a modern transmission on your own unless you really know what's going on. My truck is a 4-speed that they barely got right, I can't imagine how complex that 'Stang's 5-speed or the new 10-speeds are inside. 

On a fun note, I took the planetary gear assembly to work and cleaned them in aggressive cleaning tanks that prep metal for plating. That got the crud out of the gears, then I had them plated in nickel. They spin nicely again, and are a garage decoration. Haha.

You don't want to attempt a big job like this without a service manual, unless you're a masochist.