What would you recommend for a ready to run rig around 10k budget?
I think you are over-estimating your possible profits here. The market trend is currently bullish and that is why the mining of altcoins might show a good ROI, but as we all know these trends will change because the celebs who are promoting crypto on social media will stop at one point and market will become bearish.
Keep in mind that altcoins always have been a source of anxiety and depression among the crypto community because of lack of profit on selling or rising prices. They follow bitcoin whenever the prices go up but if you cant sell within that time you will be at a loss.
I dont want to discourage you from this, seeing is believing and hence in case you lose money you will be taught a better lesson. But I would not want you to lose 10k of course.
Possibly think about buying those coins instead than mining them?