VFD

I‘ll just be running the lathe with this VFD. I want a mill so bad I could spit end mills but I just don’t have the space for one.

Unless I hit the lottery and build a bigger shop or I get rid of some of my hoard of CRAP. That hasn’t happened since 1979 so I don’t see it happening now.
Find more space... Mills a great to have... I had one of those Rung Fu Mill/drills for 6-7 years, don't waste your time, get a Bridgeport or a clone... The Rung Fu couldn't take a .025 cut on mild steel without chattering... The Jet Bridgeport clone can easily take .100+ without chattering...

Since you don't typically run the lathe & mill at the same time in a hobby type shop one VFD feeding a plug outlet so you unplug the lathe & plug in the mill works fine....