That is a great bicycle -- thanks for sharing. The gearing reminds me of one of the stock offerings for the early 1960s Capo Sieger: 52-48 with a 14-22 5-speed Caimi freewheel in back. I am currently reassembling my Sieger with 49-45/14-28, if the Campag. GS can handle it, 14-26 if not.
The TA would, of course, be a period-correct crank, but have you looked into an early 1970s Campag. triple, which would look correct and give you 36T up front? I ran my Peugeot PKN-10 with a short-cage SunTour rear derailleur and 48-45-34 up front and 13-23 (6-speed) in back, and it was delightful. Your original derailleur set might be able to handle something similar. Even with your original freewheel, 36/22 is a very reasonable 44 gear-inches, comparable to the 42/26 low I have long used on my Bianchi and Peugeot.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069