Thanks everyone! Great suggestions, and I'll play around with the mix based on your feedback and see what happens. I really appreciate the critiques.
I'm using Logic Pro X so the drums are a part of that package. It's called "drummer" and they are basically semi-smart pre-programmed drum patterns with parameters you can change within regions, like complexity, loudness, swing, and the types of fills. You can also set them up to follow another midi instrument such as the bass. I can swap out kits to try to get a different vibe on them and can also apply various effects if I want them-- what I can't do (as far as I know) is separate out single drums or instruments to tweak them individually, which is kind of a pain. Right now I have applied minimal processing to them, so I can play with that, maybe tweaking something in the high end will hit the cymbals just right.
There is also a ride cymbal in the solo that is being played on a track by itself-- that one I can tweak, if that's where the main problem is.
Funny about being left-heavy; most of my hearing loss is in the right ear (too many years playing bass next to the high hat on that side) so everything always sounds left-heavy to me and I ignore it for that reason. By the numbers it ought to be balanced but I'll do a little more tweaking to make it less so and see how that works.