As a former distributor for PICO MACOM, and heavy user of Quad, Tri Shield, and Dual RG-6 (foil/braid) cable during the 1980 to 2010 period, I remember specific sizes for each cable.
F56-324 was for dual RG-6 (typically braid and a layer of foil)
F56-342 was for Quad RG-6 (two layers of braid and two layers of foil)
F56-357 was suggested for flooded Quad RG-6 (same as Quad, but a layer of sticky waterproofing made it nearly impossible to slip on a 342 type connector.
I have same issues working in below freezing weather, but relied on a hair dryer or other electric heat gun to
make it workable to slide on a connector.
Part of the problem may be the use of crappy Chinese made cable that is often the only choice offered at big box stores. I specified Times 2260 and an equivalent number when using Belden cable.
These were made in the USA, and usually available at cable TV suppliers.
If using former satellite ribbon cable, I tried F56-324 first, but if it was high quality the F56-342 was sometimes a better match.
Check out Holland Electronics in Ventura, California for a full selection of connectors including the above.
When they were still made, I used an RTC-360 crimper to form a tapered 360 degree crimp with these one piece connectors. They are hard to find nowadays, but if you could find one, it would reduce the need to consider snap and seal type connectors, which are quite costly.
A cable stripper specifically for RG-6 is highly recommended. Just make sure it is set up properly and has sharp razor blades inside.
