Wild Wasteland is serious about making the game sillier, including most of the shout-outs and goofy events/locations.A high Charisma/nonviolent character is also viable, but also better saved for when you know what you're getting into.If you have an Intelligence of 2 or 1, the game changes in some pretty significant ways, but this is better suited for a second run than a first.
High Luck can make for easy money grinding at casinos, but if that doesn't interest you then it is also a safe dumpstat. Don't add anything else unless you want something specific, and add them one at a time.
Lockpick, Medical, Repair, and Science are good. Hardcore is bad if you're using companions and not modding the game.