I'm in a similar spot. I've been playing for 8-9 weeks now (I'm 27 and have been in sports my whole life, am very analytical...so decided to try golf out) and am hovering around 100. My last two rounds were both 96 at the same course. I'm obviously not in a position to give advice, but I'll offer for you what's been helping me.
A. From the gate, I have been playing with people who I think are pretty damn good. One friend is scoring 80-88 consistently (and a 74 a few weeks ago.) Another guy has been playing for 50 years, and shoots about 84 most of the time. Point is, I'm trying NOT to play with new players as much as possible. I figured it would help me "play up."
B. I'm hitting range balls at least twice a week, and playing probably 3-4 times a week. When I practice, I start by chipping, and then putting(this part is pretty boring, I'll hit like 20 minutes of 3 footers, etc.), and then get to the range (where I start with my DW, PW, then 9-4, hyb, driver.)
C. I score myself
PRECISELY
by the book. If I "re-hit" a ball, I don't play it (I still play my original, but hit another just to get it right...then I wind up picking it up.) I figure I could shoot an 85 if I took several mulligans, but I don't ever get better if I don't have a consistent scoring mechanism to compare myself to. I wouldn't mention this part, because it seems pretty basic, but I've noticed that the people I golf with normally don't score correctly.
D. Focus on being money with irons. Know your 8i is your go to for 150, etc...
Like I said, I know I'm not yet qualified to give advice, but these are the things I've been focusing on that have helped me a lot.