For processors, look at the Processor base power.
I think this is, bay another name TDP or thermal design power.
Processor Base Power
The time-averaged power dissipation that the processor is validated to not exceed during manufacturing while executing an Intel-specified high complexity workload at Base Frequency and at the junction temperature as specified in the Datasheet for the SKU segment and configuration.
The non K processors will have a base power of 65w
The i9-14900K, i9-12900K and i7-14700K power will be 125w
If you can find a T suffix processor, they will be 35w.
For comparison, the TDP of a ryzen 7-7700X is 105w.
Again, can you provide a link or a diagram of the cases you intend to use?
This is important because whatever heat is generated by the processor must be expelled from the case.
That means good airflow through the case.
In my 12900K test. I used the cpu-Z stress test that exercised all threads at 100% utilization.
I assume that the instructions used were a reasonable mix of instructions.
The test was updated some time ago:
https://www.cpuid.com/news/51-cpu-z-1-79-new-benchmark-new-scores.html
There are other benchmark tests out there that are designed to be more stressful.
The Intel burn test, for example uses instructions that generate the most heat.
The most useful test would be your own apps.
What is the nature of the workload that you are planning?
Is it multithreaded and likely to load all available threads?
Or, is it single thread oriented like many simulations?
In by 12900K test I used a ITX case(lian li PC-Q08) which had a stock 140mm front intake fan.
Modern intel and ryzen processors are designed to perform as best they can until they reach their max temperature. For Intel that is 100c. for ryzen, that is, I think around 85c.
When that point is reached, the processor simply slows down.
A much better solution than crashing which previous generations used to do.
Given your case and cooler limitations, do not expect to run full out.
But, your productivity can still be very high.
Here is an article on what a 13900K can do with limited cooling:
https://www.tomshardware.com/features/intel-core-13900k-cooling-tested
With no budget, I would pick the strongest processor, namely the 14900 or similar.
Better processors will have more cache and processing threads.
With your case and cooling limitations, I would opt for A T suffix processor.
If you want ryzen, the X3d processors are a poor choice since they are oriented to gamers and the underlying processor is stronger in a non X3d variant.