Ride, Wrench, Swap, Race
Join Date: Jan 2010
Location: Northern California
Posts: 9,194
Bikes: Cheltenham-Pedersen racer, Boulder F/S Paris-Roubaix, Varsity racer, '52 Christophe, '62 Continental, '92 Merckx, '75 Limongi, '76 Presto, '72 Gitane SC, '71 Schwinn SS, etc.
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you can use any Hyperglide cassette on that Uniglide freehub body, but you will need to use the existing 13t threaded cog to retain it, and you will need to shorten each of the HG cog's longest internal splines (most easily by using a chainsaw file and with the cog held in a vise).
A small-sized Uniglide 7s cassette in the 13-23t size would be more easily sourced than a larger one, if you want to keep things all-stock.
Perhaps just buying the 23t cog and deleting the 16t cog would net you a proper 13-23t cassette(?).