Best fit for a complete frame swap is a 1973-1987 Chevy/GMC 4x4, or a Chevy S-10 can be swapped also. There is a company that makes a lot of the necessary parts to swap the 1973-1987 frame to your truck, http://www.e-zchassisswaps.com/1955.htm, although the 4x4 requires a little extra fabrication. If you use a full size 1973 Chevy/GMC frame to swap the wheels will stick out past the fenders a little unless you have a shop narrow the axles. Also the truck will be pretty tall as you need to use a high body lift to make the old style cab fit the newer style frame, most people say about a 6" body lift.

A member on here did a 1955-1959 Suburban by converting the stock frame to 4x4, his member name is Bartamos. You can check for pictures of his Suburban.