moonman’s measurements are consistent with a TR14x2 thread, except he hasn’t confirmed the angle. (30° vs 29° if ACME)
As an Imperial ACME thread of 13tpi is extremely unlikely, I’d risk buying the tap.
The desire to DIY and save money don’t necessarily go together! In this case, I think the quickest and cheapest way to fix the mill, a current product, is to buy a spare part and just fit it. No measuring or difficult metalwork.
But maybe moonman relishes the challenge and sees this as a learning opportunity. It is: identifying the thread correctly is tricky, Bronze is awkward stuff, and trapezoidal threads are demanding. Therefore a high-risk of failure whilst developing the necessary skills. Maybe several attempts to get a good one. Could get expensive! Think twice if saving money is the goal. If building skills is what’s wanted, then go for it!
Clive suggests moulding Delrin around the lead-screw, and I’ve read several reports of success. Never say how long Delrin lasts though! On the web folk are more likely to tell of marvellous bodges than to confess they fell apart after a few months! But I’d expect Delrin to be ‘good-enough’, just not as long-lived as Bronze. Be my first choice if I couldn’t source a reasonably priced spare.
Dave