I would stay away from RS coax especially at 800 mHz. Maybe you could get away with a very short length, but I'd go to HRO for better quality coax.
I don't know which idea is more idiotic... the fact that you think R/S coax is no good or the fact that you feel a VHF quarter-wave ground plane antenna is a lightning attraction...
It is a stretch to say the least that a ground plane antenna is likely to attract lightning. Having antennas up in Colorado, Georgia, Alaska, and finally Minnesota, I have never had a "direct" lightning strike (did have it come in the phone line once, took out a modem). One is more likely to get run over by a car than hit with lightning. My antennas are just above the roof line, so if I get hit, the house is **smoke** anyway.
Go to eham.net (a ham radio site), click on the "forums", then "elmers" and one can spend weeks in arguments about grounding and lightning. Some of those guys go at it night and day!
If one is using whatever coax for a scanner, it is only for receiving, hence 2 conductor zip cord could be used. Anything other than RG-58 is a waste of funds in my book. I have used RG-58, RG-8M, RG-8, and Belden 9913 with no discernable difference in received signal.
A ground plane and discone are basically the same antenna, for more gain one would need a beam or yagi. And since we are talking about VHF, UHF, and 800mhz, then only line-of-site transmissions will be heard anyway.
So many myths, so little time. <off my soapbox>