It's totally doable man.
My first darkroom a few years ago was a room ajacent to my basement room in my parent's house. I had to duct tape the hell out of it, and it was....unproductive at best, but I did learn to print. There was an open doorway to another ajacent room where we had a pellet stove (little wood pellets if you don't know) that unfortunately produced a lot of light polution that was awkward to get rid of.
So when I got back form studying in Vienna, I setup a darkroom (or more aptly a dark-space) in my understairs closet in my room, at the same house. Although the proper dimensions where probablly 3 1/2 by 10', it was a descending length, and with shelves all down the right side.
I had a big Omega color enlarger, which probablly stands 5 feet tall, so I only had effectively 3 feet by 3 feet of walking space, just about enough to turn around in. Oddly, I never really felt hemmed in, and it was a very convenient and productive space, and I made a lot of prints.
I would suggest something similar to the setup I had: assuming you have a somewhat larger enlarger (that sounds redundant) build yourself a tiny cart out of a small piece of plywood, say 2x2, and screw in some little furniture wheels. Atop this, place a small chest, which will serve as your paper storage place. Line it with black felt if need be, and you'll never have to worry about a higher tech solution. Atop this goes your enlarger. Although it might at first thought seem silly to have your tiny space taken up by a be-wheeled enlarger, being able to move the thing back and forth even a couple of inches can be a tremendously handy thing, if nothing else but to get a better angle on dodging and burning, particularly if you're doing big prints.
You have one advantage that I did not have in my silly little closet, and that is of course running water. Since you don't have a proper tub in there, placing the trays in the tub is of course not an option.
You have then two options, as I see it (discounting all the processer possibilities, I'm thinking low budget): either build or buy some shelves to line a wall with, upon which all your trays, neg's, and such go; or build yourself a descending diagonal of shelves for your shower cabinet, three or four of them, for your trays. Place dev. on the top shelf, and then of course in descending order your other chemicals. In the bottom of your shower cabinet, you can place your wash tray. Having them as diagonals will allow you to spill a lot less chemicals flapping your prints all over, and it makes working in the near dark much much less confusing. You'll simply be able to slip the paper from one tray a couple inches over and down to the next.
Hopefully my suggestions are not totally bunk. Either way, good luck!
