My reference for the changing of power at Chama from K-36 to K-28 is from the Krause/Grenard book "Colorado Memories of the Narrow Gauge Circle." I do not generally trust "picture books," and since I was not there I cannot verify that it did happen. I do know that it was common for the K-36s to go all the way to Chama. So it is very possible that Krause was wrong about the engine switching.
Resons for the 36's v the 37's:
The San Juan was discontinued in Jan. 1951. At that time all of the K-37s were up at Salida/Monarch for the limestone quarry runs and coal at Crested Butte, or were just beginning to be swapped for the K-36s in Alamosa. Also, I am not sure but I think only a handful of K-36s, and no K-37s had steam heat lines. I know 484 & 488 had steam lines. The K-37s never had them up at Salida because the K-28s, particularly 479, handled the Shavano, and the Shavano was discontinued before the 7 K-28s went to Alaska, so there was no need for passenger power with steam heat lines out of Salida. The only passenger runs after the Shavano was discontinued was during the summer for RMRR excursions.