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Do you have a suggestion?
Not one that fits all of the requirements. Custom framing is expensive and doing all of that yourself is a huge undertaking in terms of equipment and learning curve along with everything else you're doing. You say "While I'm enjoying this...it is taking away from capturing photos and planning/thinking about creative ideas". Based on experience that problem will only get worse. The obvious and simple fact is that the more things you do the less time you have for each.
I'm used to situations where a gallery sells what they have on display. Once in a long while they may change a frame or a mat, or we might get a request to make a larger or smaller version of a certain print, but prints usually sell as-is straight off the wall. Unless I'm misunderstanding something, you will display prints with a varnished finish that are framed with no mat or glass, and these prints are only for display and not for sale. Oddly or not, I've never seen that situation. The mounting material wouldn't matter but I'd still be concerned about displaying anything that is visually different, or on different media, than what people will purchase.
Then there's your preferences. Like you I happen to prefer prints on smooth surfaced baryta paper or smooth surfaced (hot press) matte finished papers, and those papers are the only media I use. There's nothing wrong with cold press paper, metal, canvas, or any other media, but I'd rather use those papers. IMO signing and selling a print means it's 100% as you'd like it for yourself. I'd advise making what you are most happy making, and with a little luck the rest will follow.
Whatever you do, best of luck with it.