I checked JO Apply (just now) and there are billets represented by the following NOSC (translated: the NOSC below have billets for you as 1105)
Washington, DC; Moreno Valley, CA; Houston, TX; St Louis, MO; Memphis, TN; Kansas City, MO; San Antonio, TX; Minneapolis MN; North Island, CA; Norfolk, VA; Greensboro, NC; Newport, RI; Charleston SC
My most humble opinion of your endeavors:
1) As I mentioned before, keep your personal reserve questions to the RESERVE section of the forum...why are you using the main section? Active and Reserve are completely different beasts in the Navy and there may be some reservists who could help you but don't check for questions/comments in the main.
2) Every thing you post is a "how do I get into this" question. I don't know how you can achieve any one thing as you are supposedly attempting to chase multiple things...focus on something and get gong with it. Maybe you can pursue a couple things at once, but if you try chasing all these very different opportunities you will probably not succeed at any.
3) You also don't supply enough info for anyone to help you: You say you can't affiliate because there are no billets at your center, but you won't reveal what center? No one will be able to find you by revealing that, if that's your fear...but to help you out, I just listed the places that do have a billet, so if your center is not among them, then at least that would confirm something true for you.
4) Regardless of your billet issue, that is not stopping you from going SELRES. Of all the things you are trying to do, that should honestly be the first thing. Get with a NOSC/reserve recruiter and put in the paperwork to affilitiate DO NOT ask them a bunch of questions about jobs and the like; just state you want to affiliate SELRES, do what's needed to complete the paperwork and wait. It may take the better part of a year for it to go through. Once that's done, they will actually cut you a set of orders in a place holder billet and THEN you can figure out your billet situation. As a 1125, they allowed to me to fill a LDO billet, so there is some flexibility...it doesn't have to be an exact designator or rank match.
You still kinda have me shaking my head a bit....I took a break in service and decided to come back reserve. I did not know or worry about where my nearest NOSC was or what "job" I would get. I worked with my nearest reserve recruiter and everything fell into place once I was re-scrolled again. So you will get a billet...now if may not be your dream billet, but that should not be a big deal to you.