What you're describing is a lab power supply. (The "instantly disarm on short circuit" is overcurrent protection, which is a standard feature.) The name brands like Keysight or Rigol are kind of expensive, but there are a lot of no-name models on Amazon which will do the job well enough.
Keysight == Hewlett-Packard Old School.
Thanks! I had a BK Vision or something similar at some point and it just blew up. I will give it a search for these brands, sometimes I find a well-cared used one from the more expensive brands at good prices so that’s what I will look for first. :)