The simple thing to do might be to just build an outlet extension that has its own small (5 amp?) short delay circuit breaker
That too. I have some DIN rail ABB breakers in my junk store of 2A 4A 6A 8A 12A...
any of those would be fine for this kind of app.
I have a photo catalog of my attic and store room junk. Maybe I should put it on the web and consider offers...:-)
I found suitable and relatively inexpensive, less than $20, panel mount ones from Newark but I had to spend time going through datasheets to do it. They were panel mount toggle switch style hydraulic-magnetic breakers. I had to check the datasheets to verify the delay curves.