If you're small, have you tried looking at used Japanese race bikes? As long as you don't get one with a huge dent, you'll be good. Only limiting factor is you'll need the front fork drilled for a brake or run an adapter. Also the front forks can only squeeze in 25mm tires.

They're doing 10% off right now on all orders.
Here is a page of the lower priced models.
https://www.njs-export.com/collectio...y-price?page=5
Quite a few 47mm-51mm
Just make sure to look at the top tube number too since that's more important. Don't want a 55 top tube 50 seat tube if you're small.
Also be sure to get one with a standard 120mm rear axle to make things easier since that's the standard.

All of those frames are very high quality lugged steel frames.