Hi..Adrian i could do you a complete rebuild of one of my many retro/vintage road bikes i have for under your budget and include full bike courier service of £21.50.
The bike would be a complete rebuild with all new lube,bearings and cabling.
I have two Raleigh Sprints 60cm and and 57cm frame that are Reynolds 501 tubing with some very nice parts(campagnola mechs and shifters,wienmann alloy wheels).Hubs,crankset,wienmann brakes and levers in gold, that may be suitable for you.
I also have a 60cm coventry eagle which i think is reynolds 501 frame and forks.
Too many bikes to go through but if you let me know what size frame you are after i can see which ones are suitable for you and if you like one and we agree on a price i will do a complete rebuild.
I will upload pics of the suitable bikes on photobucket for you to look through when you get back to me.
Regards..Quizzer