Buprenorphine, clonazepam, gabapentin, baclofen, eszopiclone,
and ketamine....

Damn, I'm jealous of your prescriptions! I mean, also though, besides the stuff you mentioned I hope you're not suffering too much for whatever conditions you have that lead to your being prescribed all that stuff.
Honestly I would say you'd be best to avoid kratom by the sounds of it, it is an opioid, even if a fairly mild one, and carries much of the same addiction and habituation and potential-for-withdrawal risks as other opioids even if - again - to a lesser extent, so you're not really going to help yourself in the long term considering that you are still taking buprenorphine. It would be different if you weren't prescribed all that other stuff and were just cold turkeying or trying to switch directly from a harder opiate but kratom interacts with a lot of stuff and almost certainly is just going to throw a spanner in the works as far as your recovery.
Actually I just realised I'm a bit unclear about some of the stuff you said, do you actually mean you're prescribed all that stuff currently? Or you were just prescribed it in the past?
Also - you mention trying to stay buprenorphine-free, but you have also just been prescribed buprenorphine? Surely if you've just been prescribed it you don't necessarily need to come off it right away because you are already getting professional assistance and a solid pharmaceutical opioid to ease your withdrawal from oxycodone? Or do I misunderstand something?
Anyway I'd still say by the sounds of it you don't need to throw another opioid in the mix right away, maybe after a bit longer away from harder opiates and maybe when you're off or down to a very low dose of buprenorphine and planning to get off it entirely, if you're still feeling not quite right you could reconsider, but right now I can't see much good coming from getting into kratom honestly.