Keep an eye on Petfinder.com. Say you’re only just looking and not ready to get one yet, and then your puppy will magically appear!
I went through this in 2020 when I lost my favorite girl in February, and was ready for a new puppy by May or so. This was in the height of the pandemic puppy trend, and it was tough. I inquired on a couple that were spoken for already. I got a tip about lab mix puppies at a shelter an hour away, and drove there on the day their facebook page said they’d be adoptable only to find about 30 people standing in line outside the building. Eventually someone came out and said they’d all been adopted. I ended up with the puppy I got because the first person whose application they accepted backed out. At $400 (8 weeks, rescue), it was definitely the most expensive rescue mutt I’ve ever gotten (the others were $25 (1992, 9 weeks,shelter), $0 ($1995, 9 months, stray), $100 (2005, 4 months, shelter) and $300(2011, 1 year, rescue)). Of my 5 dogs, three were trucked up from the south. None have been obvious pit bull mixes.