I transfer LPs (and a few 45s and 78s) to digital and have some software that will clean them up. It doesn't work miracles, but a clean LP comes out sounding very, very good. So, I've been haunting used record shops and thrift stores. I probably have collected several hundred over the past few years. I *THINK* you can use Audacity (free software) to "speed correct" the 16 RPMs.
And, just to keep this at least partially on topic, just let me say that all of this information is ...
Off the record.