You describe my exact experience with my own wetness on testosterone. It nearly drove me crazy. So yes it is a thing that can happen and you're not the only one.
I still struggle with this issue cause even though I've now stopped taking my T it will stay in my system a little while more. However it doesn't bother me as much anymore. It is the T that is causing the excess wetness, and I've talked to a few other trans guys who've had that experience too, but you're right that it's very rarely ever talked about. Why it happens, I don't know. It's not dangerous, but do try to drink some extra water as that might dehydrate you a little.
As for how to deal with it. There are only two ways you could lessen the flow: either quit T or get a vaginectomy. Arguably a hysto can help, as I've heard a few guys say that decreased their flow a bit, but that it made no change at all for other guys, and some reported a very small difference. I only have anecdotal evidence on whether a hysto can lessen it or not.
As for how I've dealt with it, are the same things as you: keeping clean, changing underwear often. Additionally to that, I've also used pantiliners to soak it up. That might be a dysphoria-inducing kind of item for you to use, but well, if it's of interest, they worked fine for me to use in men's boxer briefs and briefs. They're very thin and I don't feel them when wearing them, unless the glue gets stuck in my pubes. For obvious reasons. But by wearing such my underwear survive longer between washes and also, it saves them from getting bleached by the natural acids that are in that sort of fluid.
So if this is a rather new change for you, a heads up: it will cause bleach stains in your underwear over time if you don't protect them somehow. Just washing them won't help, the discoloration can't be removed.
If you don't wanna use pantiliners though, I did during some time periods stick to just wipe myself after every time I got aroused and/or masturbated, and just whenever it started feeling sticky, with lots of toilet paper.
The smell change is also the T's work. That's the "manly odour" that being on T causes for probably everyone. I did actually dare to taste my wetness a couple of times a while ago, and I can report that it was very similar in taste to semen. Very mild when I'm clean, but very strong (and gross) when unwashed for a days. I deal with my own smell by simply washing with mild, non-perfumed soap. However I noticed that when moisturing the area with olive oil that reduces the otherwise pungent smell somewhat. Olive oil is fine to use there externally, just make sure it's fresh, and don't put it up inside.
