There is a Rishon that holds -A goy cooking in a Jew’s house there is no problem of Bishul A’cum. So B’dieved in such a case you can be Someiach on this Shitta!
We don’t pasken like him (R’ Avraham, brought in Tos’ in Chullin), and you’d have to bring proof that we can be soimech b’dieved on a shittah we don’t pasken like.
in a crock pot (where cooking is only M’drabbonon because of electricity)
It’s D’oraisoh. The bishul is the same, and even turning on the crockpot is a d’Oraisoh since most poskim consider a heating element to be aish.