Check to see if the new transmission uses the same front driveshaft yoke. The later yokes have 28 splines vs 16 on the 59. Also, the Corvette linkage mounts on the rear of the housing, there may be an issue with the shift lever hitting the seat. All this can be worked around.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine