Criterion #1 would be a receiver-mounted rear sight. That narrows down the field considerably. The main contenders would be the M1903A3 Springfield, the Pattern 14 / M1917 Enfield, and the No. 4 Enfield.
Cons: For the M1903A3 Springfield, a very basic rear sight, and a 5-round magazine capacity. For the Pattern 14 / M1917 Enfield, heavy and clunky.
Pros: For the No. 4 Enfield, the Singer micrometer rear sight is the best of the bunch. Also, has a 10-round magazine capacity, and a fast action. But the .303 rimmed cartridge is inferior to the .30-06.
For these reasons I would pick the No. 4 Enfield, with the Singer sight and manufactured in one of the North American plants (Savage or Long Branch).