A few ideas,
First, communicate with people, H.R. hires into a spot, but depending on the moons, tides, and how good the new rocky movie is are only a few factors that control the company's needs on where pilots get placed. That could mean that you might be placed in the base for a week or two, maybe you wouldn't even make it to a base, etc.
If you do go to OAK, communicate with people to see if you can set up a better living deal. First there might be people in your indoc class who are in the same boat, second call the Assistant Chief Pilot of OAK, that person might have an in on somebody who works in the base looking for a room mate. As soon as you get through and placed in a base put in your bid for where you want to go, be it SLC.
Also do great in training, if your in trouble money wise work your ass off. Study every minute, know everything, and if the opportunity presents itself either inquire about becoming a training captain. I was making more as a PA31 training captain/line holder than a 2 year 99 pilot. The downfall no life, long long long days, and days where you bash your head against the instrument panel in frustration, but great experience and it has been worth every dent in my forhead.
AMF is a good stable company, most regionals can't say that, and if they do just give them time. Every new job you take after instructing should either be if career oriented to fill in a notch on your resume, or because you want a particular lifestyle. Don't bash somebody's choice to come to AMF because they don't want to go to a regional, I know people who have been here for along time doing one run because they are home all day every day and have gotten to see their kids and be a part of their lives.
PM me if you want more info, there's a few other things you can try but alot of people have been there, and made it work for whatever reason was important for them.