Rick Sparber, a forum member, has just published an article about a high precision, low cost probe in the latest (Summer '22) issue of Digital Machinist. The heart of Rick's device is a $5 Harbor Freight multimeter.
In addition, he's written up another electronic edge finder (EEF), which can be wired to a Centroid Acorn CNC controller for X,Y,Z touch-off:
I myself am just about to start fitting out a Taig 2019 mini-mill for CNC, and plan to include Rick's EEF.