West Coast S
If I were to model a logging line it would be the Lake Tahoe Railway & Navigation Co., a narrow guage operation that connected Lake Tahoe with the SP interchange at Reno. ... bear in mind this was a profitable operation with much tourist traffic in the summer which is why SP purchased and standard guaged the line in 1924.
The line ran between Truckee, CA and Lake Tahoe, following the banks of the Truckee River. From the start, it was a tourist operation, and narrow gauge operations followed the tourist season, operating from May to November. There was little freight other than forest products. (David Myrick, Railroads of Nevada and Eastern California Vol. 1)
The SP acquired the railroad on October 15, 1925 and standard-gauged it soon after, beginning standard-gauge operation by May 1926. Pullman sleepers were operated on the line. Operations included passenger and mixed trains, but stopped upon the outbreak of WWII, and the branchline was abandoned on November 10, 1943. ... The SP provided pace trains for dog sled races. With the Depression and encroaching roads, railroad activity was reduced in the 1930s. (John R. Signor, Donner Pass, Southern Pacific's Sierra Crossing)
The Grand Canyon Railway, a subsidiary of the ATSF, was also principally a tourist line but served logging and livestock activities. It still operates as an independent, tourist-only line between Williams, AZ and the South Rim.
While both railroads had connections with independent logging lines, I wouldn't consider the Lake Tahoe or Grand Canyon lines to be logging railroads. Nevertheless, they would lend themselves to be more interesting layouts than a pure logging operation.