Well, the mechanics of the process are simple, it's just the execution that's flawed.
Career advice? I wouldn't dismiss the idea of playing soldier / sailor / airman / marine / coast guardsman at all. The services offer lots of technical training, and unmatched possibilities for going to school while in the service.
Those "EE tech courses" are essentially worthless unless you complete the program and get the certificate. They have but a tangential relevance to either electrician or electrical engineer work.
First check the Dept. of labor sites to find ALL the apprentice programs in your area. There are likely more than one - then apply to ALL of them. Then do it again. And again. And again.
These programs have very tight 'windows' in which you may apply. Then they have various hurdles you must overcome until -maybe- one accepts you. The application process can take years - and multiple applications (as in a new one every year!) In the meantime, keep going to school and working.
Goint back to an earlier suggestion, NECA / IBEW have a 'helmets to hardhats' program to expedite the entry of servicemen into these programs.
