I know that this is an old post but I figured that I'd update it for future reference...
If you absolutely have to, you can run RG-179 (mini RG-59) instead of RG-6. Your signal loss will be MUCH higher. For instance Belden 9116 RG-6 cable will loose 6.54dB at 1000MHz for every 100' of cable. Belden 1855A Mini RG-59 cable will loose 10.5dB at 1000MHz for every 100' of cable.
That almost 75% more loss. Also, the most common connector for RG179 is a BNC connector because it is most commonly used in broadcast. You can use BNCs then just adapt it to an F connector. I think that Ideal does make compression F connectors for mini RG-59. Check you local Graybar. They used to carry Ideal's entire line.