That's not very specific, but checking Wikipedia, the highest TDP I see for any Pentium 4 is 115W, which isn't as bad as some LGA2011v3 cpus which can get up to 150W even before overclocking, and others are able to deal with those without overheating their psus.
If the air in the case is overheating your psu, then either 1. the psus you're using have too low of a thermal rating (I think there are some that can only handle 25 C), or 2. your case has inadequate airflow (which you might be able to deal with by just adding a few fans, but if it doesn't have the fan mounts, you're better off getting a new case anyway)