Where's a good place to find a pre 1958 track/path frame

I'm looking to buy a 21-22" pre 1958 path or track frame to ride End to End in a few year's time when I'm 60. I've been looking at Flea bay, but not seen anything that ticked all the boxes, so apart from the classifieds here, where else should I look???
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I have a 120 mm rear end Claude Butler (52 size, so just under 21 inches) which could make a fixed/track bike, but it's a road frame otherwise... I think it's more early 60s though and I have butchered the rear bridge to fit a brake caliper