Ryzen 9 5950X fits comfortably into that budget if you buy low to mid-tier GPU (which is sadly issue right now, well... any GPU at all). It's better to even skip GPU if you have any right now just to afford 5950X instead of 5900X. The cores matter.
There are plenty small companies that will build PC of your chosen parts for small fee (100-200 +/- on top of part prices) on every market. Big E-Shops sometimes offer it as well.
Just avoid enterprise brands like HP, Dell, Lenovo, IBM, BOXX, etc... because those have surcharge of almost 200perc. of part prices so you wouldn't be able to buy anything reasonable with your budget.