Really mom-ish sounding part: This is a discussion that needs to be had with your doctor and not with a message board given the number of drugs in the mix here and what I'm going to assume is the severity of your condition given the number and mix of prescriptions. Any drug prescribed for psychiatric purposes is likely to affect the quality of your trips (or even the ability to have them), and it's also going to make tripping more dangerous - the more types and larger quantities of drugs you put in your system, the more dangerous it will be with almost any chemical there is. And unfortunately, both psychedelics and pharmaceutical drugs work differently for everyone, so it's close to impossible to say what will be an enjoyable, let alone safe, combination for you. It is particularly dangerous to start or stop taking SSRIs and SNRIs suddenly, so please, please, please make sure you're safely tapering when you're going on or off prescription meds.
Hopefully a little more helpful part: From personal experience and from the experience of my friends, I would say that you have to make a decision between pharmaceutical and non-pharmaceutical drug use and whether you're going to use drugs primarily medically or recreationally. It is simply not a good idea to try to do all of those things at once, and I don't know anyone that's been particularly successful at it. I have used marijuana, LSD, MDMA, and mushrooms both recreationally and medically during periods where my mental health was in a more controllable place, but I always went back to pharmaceutical meds when things got rough, and during those times, I simply didn't use drugs recreationally (with the exception of marijuana, but I did have to cut back nearly to zero on it for a couple drug combos I tried out). Ultimately, wherever your priorities lie, you need to tailor your drug use to achieve the best results in the safest way possible. Generally, that's by putting the smallest amount of drugs in your system for the desired result.
P.S. If your doctor is unwilling to have a reasonable discussion about your recreational drug use, find another doctor. I know it can be hard, but it will make a world of difference. I once had a shrink that told me I was an untreatable addict because I smoked weed a few days a week and insisted that I would never be well if I smoked. Doctors with that kind of perspective will never really help you get better.