We play the Base is just to hold Supporters and does not impact the game in any other way. So you can just go there and gain some Supporters, all other instructions, powers or effect etc. are ignored (unless explicitly directed otherwise). For example, with CotCT Scenario 4D, Trial of the Totem, we only put Totem Piles on the normal locations and not the Base location and the scenario end of turn power does not apply to it.
Well, I hope that's right ;)
Bonus question: You can explore multiple times at the Base with explore cards, just like any other location, can't you?
So if one player starts at the Base, they can free explore and gain a Supporter, then say draw a card (one of the options at Base), then discard an explore card to explore, gain a Supporter, then heal that card (another option at the Base), repeat for as many explore cards as you may have.
We have Kess in our team with 9 Allies and she can go through that deck as much as she wants at the start.......is this right?