Stable:
My most explored stable location is the General Store. I find it the most reliable place for a weapon-less investigator to buy a weapon.
Unstable:
Considering every location has 1 clue on it, the location I would most rather go to is the Historical Society. Some good encounter there and the chances of gates/monster appearing is slim to none. Two rare exceptions though: If I have a Lodge Membership, I would rather go to the Inner Sanctum, and if I have a 1000 Membership I would rather go to Woods/Unvisited Isle/Black Cave and have a Cult Encounter (I LOVE Cult Encounters).
Now you.