You only need the following skills:
1.Cartography (in the current set-up, the one skill to keep on 100% of the time)
2. Locksmithing for Hoard and Trove maps (you can use GM Magery to unlock Stash, Supply and Cache)
3. Remove Trap only SPEEDS UP the map. You can do ANY map at 0 Remove Trap skill (you still will need to use the skill button at 0 skill on the chest) - it's just that you'll get lots of singular, unlootable, blue spawn to kill before you get to actually access the chest contents. Theoretically, you could pick a lock, recall to swap out LP and RT, then come back, but by that time most of that special spawn timer would have ran out, anyway. You might as well stay and fight the stuff.
So, any character with 100 or higher Magery can get away with running with ONLY Cartography (plus magery and 500+ points in other skills), if you only do Stash, Supply and Cache.
For the non-mages, it's Cart, LP, and 520+ points in other skills, and able to do all 5 levels.
The downside of not having RT, as noted, as you will have 1-5 minutes of fighting junk monsters you can't loot or tame (you can now tame any of the tameable monsters from initial chest spawn, or later spawns during looting - but not their blue-hued guardian versions)