Are there coins which you could mine with CPU so that it would be profitable?
Oh my people!!!! are you wanna throwing your cpu into the thrash? Please don't use your cpu to mine anything and your cpu should be burned as fast as possible. The only possible thing for you to get a penny from your cpu mine but that was involving high risk about the possibility to burn your own cpu. that was really bad idea.
What a load of gibberish, CPUs and GPUs are designed to be thrashed at 100% for 24/7 for years without deteriorating significantly.
Repeated heating and cooling cycles is a more serious consideration where it come to wearing out Semiconducter devices...
But as mentioned, one of your best bets is monero, don't think it will be profitable though. I'd consider it a straight trade of money in electricity for monero coins.
What CPU are you considering using for this so we can figure out whether you would manage to break even...