1.111B class .xyz domain costs some 1 EUR per year. You’re limited to <6-9 digits>.xyz format (e.g. 012345.xyz) but if that doesn’t matter for your use case then this is the cheapest solution. You can get these via Porkbun, etc.

The recommended action when your CPU can’t handle it is to switch the mode to Filter or Filter+ instead of Dynamic. It’s not as good looking but it does darken the website at least.