Need some input and advice please

So late into college I changed my mind about my career and decided that I wanted to be either a sales trader or a trader. So I didn't have time to do any internships in the banking field before graduating.
I have a job right now with fidelity (less than a year) and have my Series 7 and 66 but I only took the position to get my licensing and my job has nothing to do with trading. I just needed something to break into the industry a little and having those two licenses seem like a great choice especially since I needed 7 and 63 for sales trader position anyways.
At the moment I have a position for remote access training with Tower Hill Trading and they have a lot of very good reviews but no salary and most people do not look up to them b/c of that (at the same time you can really show yourself if you do good).
But here is where I'm torn. I really want to work for SIG; I have a math degree, I know python a little, and I have started studying everything else that they use during their training (poker, probability, game theory, black jack, chess, and mental math). I don't know if I should keep my job while studying for SIG and continue applying to other positions or should I simply take the position at Tower Hill Trading and then continue studying for SIG.

P.S. I went UT Austin and I get my resume and cover letter done by WSO.