I've tried to combine three subjects in my lessons with Jake Newman, I started mainly for double bass lessons but I have a proportion of the lesson on theory to relate the practice pieces to, scales for trying to learn where the actual notes on a blank neck are for example, because the text books are done in notation by association my reading has improved (a little) our own doddy taught me to read in the first place about four years ago.
I'll never be able to sight read and never need it to get a gig but understanding the theory has been easier being able to read.
A good teacher should get you going with something suitable but be warned, for everything you learn with theory you will have two new questions!
My ability to jam has improved loads since learning more theory which sounds like what you want to do,I can read a chord chart and add a few extra notes in knowing they will work before anyone has struck a chord, it's all smoke and mirrors but it looks like you have extra powers, lol
Good luck whichever way you go with it