Ride, Wrench, Swap, Race
Join Date: Jan 2010
Location: Northern California
Posts: 9,193
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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If you can measure the clearance between the teeth of the smallest cog and the inside face of the dropout, a determination can be made as to whether or not the 7s freewheel will fit and still allow chain clearance.
If you're seeing 7mm or better clearance, I'd bet that the 7s freewheel will have plenty of operating room for the chain.
If the existing freewheel is perhaps an Ultra-6 spaced freewheel, then add a couple of millimeters, you might need 9mm of existing clearance.
Since this is a high-quality frame, there should be no issue of derailer claw bolt (or axle-stop screw/nut) protruding into the chain/freewheel's operating space.
I often up-fit older bikes with N+1-speed freewheels!