I put a set of Weinmann 700s on a '71 GP I had earlier this year; they'll work fine, just set the brake pads all the way down in the calipers. I also installed a newer Sugino BB and crankset with no problems -- this bike had the 1.370 x 24 threads. With the lighter wheels and crank, the bike came in at 23 pounds and was a really pleasant ride.
I don't believe there were ever any 'Nottingham' Grand Prix as such; the English ones were built at Worksop.