Well, I finally get my Solo Mining setup working. I put a 120mm fan in front of the Compact F and now its very cool (about 42°C). Didn't thought that would affect cooling that much. Without cooling at 200Mhz it's to hot to even touch the heatsink. Now it's running at 400Mhz. Maybe I go a little bit higher the next days.
Nice, 42°C sounds pretty good. How / where are you measuring if I may ask?
But now I've found another problem with my setup. the latency to kanopool is quite high.
I don't think that should be an issue.
Maybe it would be better to mine with my own bitcoin node? But my node is bitcoin core 22.0 wich doesn't work with cgminer

Which bitcoin node version uses kanopool?
I don't think the Bitcoin version is the reason here. There have been threads about solo mining against Bitcoin Core directly; here's someone who managed to do it with the exact same BM1397 Compac Fs!
Everyone on this post was so helpful I wanted to reach back out and let you know my solution which is subject to change by any other good advice I receive here.
I went out and bought a raspberry pi 4 with 8gigs and then bought the Argon One M.2 case that holds a SSD drive. I bought the 1TB drive from Samsung. Its a really neat tiny but powerful setup. Then, I bought myself a Newpac USB miner based on the BM1387 chip. Its running ubuntu.
I really had to do a lot of trial and error to get this all to work right. I really like BFGMiner, but it will not work with the new Newpacs. There was some posts about a year ago from @luke-jr about getting it supported but it doesn't have it yet. The great features of BFGMiner from my point of view are the ability to use it as a stratum proxy for other miners as well as its ability to solo mine against the bitcoind higher versions. But it just doesn't support the miner I use.
That's where cgminer comes in. Cgminer is the only miner that supports the Newpac based on BM1387. But, cgminer will not work for GBT solo mining against modern versions of bidcoind greater than 0.19.
So what I ended up doing is running my bfgminer as a stratum proxy and then run my cgminer with stratum+tcp and point it to the bfgminer. Bingo works!
So that's my ugly setup!

I hope luke-jr reads this and decides to spend some time with the newpac drivers.