Polyphase, Diesieljeep,
Thanks for the additional information. I guess what I was getting at from a backwards perspective was the transformer ratio when I asked about the resistance. Probably making a big assumption that the wire size between primary and secondary are the same. However, the (dissected) transformer in the radio appears to have the same size magnet wire coming out to all of the leads. So using the same backwards logic, the primary resistance is supposed to be 1,600 and the total secondary resistance was 10,600 ohms in the defective transformer. So using the resistance as a loose way to simulate the impedance and plugging the numbers into the turns ratio calculator found here:
http://www.maxmcarter.com/classecalcs/tratiocalc.html I get a ratio of @ 2.57 to 1. Since you guys have indicated the suggested replacement is 3 to 1, the primary impedance matches a 27 tube, and the current carrying capability is within range, plus the small size, it sounds like it would be worth a try.
Thanks again for the assistance,
Mike