Ok, those are the (one yr only) '56 intake manifold and vacuum adv. (only) distributor.
The hassle is that dual timing advance canister needs the matched pressure from an original '56 teapot carb to control the timing properly. The chances of another type/brand of carb keeping the dist timing right are not impossible, but slim at best.
If the rubber diaphragms in the dual adv canister are still good, the simplest solution is to rebuild the original '56 carb, or one just like it if yours is too far gone.
If a different/newer carb is used, a '57-'62 distributor should be used to keep the timing adv right. An adapter to the smaller carb bolt pattern of the intake manif will most likely be needed.
It's more work (that could be done in the future) but if you have any connections for y-block parts you may consider the '57 style ECZ "B" intake manifold. The air flow is better and the carb bolt pattern is much more common.