Thanks! I have no idea why I hadn’t thought of the scrap-wood depth stop, but that sounds pretty much perfect.
Masking tape for me always either gets packed with sawdust (drill-dust?) that’s come up the bit, or gets frayed because I didn’t stop quite soon enough or comes loose because I was an idiot and wrapped it the wrong way around the bit. Not on the first hole, but when I’m doing a lot of repetitive drilling, it always looks horrible and has moved a little by the end.