Mikro Mir, a Ukrainian company makes BTR-60s in 1/48. They are a little fiddly being full kits but look rather nice. You can generally find them in stock on the bigger model shops like HLJ, Hannants and BNA.
Butlers Printed Models make 'em in 1/48. They'll be more expensive than the models and unless you get a resin print, look fairly ghastly. There are also one or two sellers on Etsy producing 1/48 BTRs and if you own your own printer, there are even more options.
Rubicon produce them in 1/56, not the scale you prefer but close. Likewise Sloppy Jalopy make a 1/56 BTR-60 PB
There are also one or two 1/43 diecasts out there. The 1/43 Modimio version is one but they aren't cheap and are out of scale. If you fancy that 1/43 works for you then look for the AVD version. These are multi media models, with a dieast hull that you essentially screw together. About half the price of the finished diecast kits although, naturally you have to assemble and paint them yourself.