Carb for my 360

Hot is not measured but I do know when it's way too hot. It's not boiling over but it's close.
The 4bbl carb is stock from my 273 engine so it's probably not right.
I'm running a new 7 blade Mopar fan with a clutch, no shroud.
Don't know where timing is, I only have an old timing light but I have tried moving distributor with no effect.

I would guess a stock 273 carb (~500cfm) would be a bit lean on a 360. I would try and borrow something a bit larger (600 to 750cfm) and try it. What do your plugs look like?