Hi KW,
RG-59 has a small center conductor, a smaller foam dielectric and single shield.
RG-6 has a larger center conductor, a larger foam dielectric and double or quad shield.
The result is that RG-6 has less signal loss than RG-59 and is less prone to signal ingress and egress.
Can you get rid of the barrel connector, and use one complete run of RG-6?
Try to avoid running near, or parallel to AC lines.
If you have to cross them, do so at 90 degree angles.
Good Luck
Rick