i think you have a few issues going on. fuel in the oil usually means the fuel pump has a torn diaphragm. or it could mean you are flooding the cylinders with fuel and the rings are very worn out allowing the fuel to get into the crank case.
anytime you have a questionable carb i find i best to remove and replace it with a known good carb, this is for diagnostic purpose to see if the problem is just coming from a carb.
you have past problems so i would personally lean towards a carb replacement but that might not solve some other issues.
A lot of guys love edlebrocks. I do not like them on 71-73 cars due to the transmission kick down on the automatics and the throttle cable alignment. Holleys work much better in the 71-73 engine bay due to configuration, that doesn't mean the holley itself is a better carburetor Holleys have problems of there own.
sticking with the edlebrock, it could have a stuck float or the float has sprung a leak filled with gas sank and that keeps the fuel bowl cut off from working the carb floods out and fuel spews out of the vent holes and onto the intake manifold.
you could have a lot of rust in the fuel system that will clog up the carb and make a float stick.
Fuel in the oil is not good. but you don't want to change the oil and have it reoccur. That means you want to inspect or replace the fuel pump. that is not a hard project to do and since you need to change the oil anyway, you will need to pull the oil filter and replace it as well, giving better access to the fuel pump replacement. if a fuel pump has a rip in the diaphragm it will pump fuel into the crank case, thin the oil and cause oil starvation on bearing surfaces due to viscosity changes.
If you change the oil and filter and pump and the oil becomes recontaminated then you know the problem is souly with the carburetor.
at the least you want to rebuild the carb and replace the floats in the bowls. it might be a good idea to disconnect the fuel line from the carb and crank the engine holding the fuel line in a bucket then inspect the fuel for rust particles, if you find a lot of junk floating in the fuel coming from the carb fuel line, you might be looking at a total fuel system rebuild. dropping the tank replacing fuel lines and senders in a effort to make sure all future fuel reaching the carb is 100% clean even with a fuel filter.