I started in live sound and have used a lot of stuff. For small to medium venues you usually don't mic overheads. I am surprised no one else here mics the hi-hat. Live sound to me is more about controlling feed back which means tight patterns and good monitor placement and mic placement away from the monitors.
I actually like it when drummers have mics already attached to their drums because it is placed out of their way where they want it. I can just plug in their stuff. Way less hassle than maneuvering mics around the usual metal kit. Most drummers NEVER think of mics, their snare is surrounded by shit, nearly impossible to get a mic in there. Cymbals way to low to the toms.. etc. In a festival/line-check environment the EQ tweaks are usually the same and you have to adjust gain anyway.
But even then, usually just toms and snare. I usually still use my kick and OH's, Hat if they are there.
I have never used the Audix D's, but I have read their D-Vice clips fall apart.. but reviews are difficult because it could be operator error. Goosnecks in general have a shorter life span though, IME... and it still might be user error haha.
I like the e604's since they are low profile, clips to every tom I have seen, and the clips have been really reliable. Actually I also have a set of PG drum mics and those work really well too. Even on snare the e604's sound pretty good, more meaty than a 57 but less crack. But some snares I have seen with weird rims like rubber or wood, so keep a stand handy.
I wouldn't bring anything expensive, especially as a traveling kit. Yeah 421's and KM184's are great.. but really... for live use? If you are seriously at that level, let your live sound engineer determine what they like.
In my live kit for drums:
I have 3 e604's and a shure pg kit, some 57's, and 2 d6's (double kick dudes).
Kick: D6
Snare: 57 or e604
Snare Bottom: usually don't bother, but sometimes 57 or i5
Rack Toms: e604 or pg56
Floor Toms: e604 or pg56...sometimes PG52 or the other night I had a dude with 6 toms, so for an extra floor, I had a cheap ass gear one kick mic someone gave me and an extra clip mount. Sounded fucking great on that low low floor tom. Might use that more.
Hat: 57 (condenser would be nice, but a 57 works)
OH's: Most metal shows are smaller venues, so I never use them. When I do I just pull my PG91's.
Actually honestly that Shure PG kit has turned out to be great. Even for how cheap it is and an entry level set, I bought it over 13 years ago now and been on countless gigs. They are a bit boring sounding if that makes sense, but they work and take a beating. It is just a great kit with the case and everything. In a pinch, they work on horns, vocals, cabs, etc.
Live sound in general I find a lot more forgiving in some ways, but harder and less forgiving in others. Teaches you more about making things work in the most un-ideal situations. But because you are fighting a room, constantly moving acoustic treatment (ie. people) it is hard to get things perfect anyway. And most will love it, but there are always haters.