This document (NSA history of the SIGABA) suggests that the tactical encryption hardware would probably have been some variant of the
Hagelin M-209, which
is a mechanical rotor system similar to the more-famous Enigma machine. It also had similar weaknesses, which is why it was replaced by the SIGABA right after WWII. The typewriter keyboard variant was the
BC-38. Both used the same cipher system, and I can postulate any or both being in the van depending on hardware availability at the moment, desired redundancy and fault tolerance, and expected encrypted message volume.
There might well have been a SIGABA or two in there as well for upper echelon/strategic importance encryption, similar to the German division of labor to the Lorenz machine. - NSA official history says SIGABAs weren't deployed until 1944 or so, but
other sources claim 10,000 were in use by 1943, and that the design dates back to the late 1930s.