I think you can still get complete axle kits with cones and nuts.
I really do not see the point of the SS conversion, or even the solid axle swap. Why degrade the bicycle's utility and riding experience?
Bicycle theft was rampant when I attended UCLA (1968-78), and we just pulled the front wheel, set it next to the back wheel, and ran a lock through the frame and both wheels. Some folks just took the front wheel with them to class, instead.
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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