The space in the aforementioned housing, including around the motherboard and CPU, is very limited. Even with air cooling of the CPU, not every cooler with a fan has room. It might therefore make more sense to go for an E-ATX case.
So far, I have only used the original box cooler from AMD, which fits perfectly. There should be information on the manufacturer's website about which cooler works. Also have a look at YouTube. There you will find videos showing which cooler works. Greetings from Mels