Hmm, I dissagree with a couple points here.
First, F fittings and/or CATV is definately not balanced. Any single center coax is an UNbalanced feedline. Balanced feedlines have two equal conductors (remember the old flat twinlead 300 ohm tv wire?). As far as one type of connector being preferred over another, since you are installing CATV I would stick with BNC. By design, the BNC fitting shields the center conductor better by having a ground sleeve that actually doubles up on the shielding at the connector. It is a far better connector than the standard "F" fitting.
Second, the signal does not run on the shield in CATV cabling. The signal is modulated on the center conductor, and kept there by providing a shield (grounded) around it at a specific distance giving the circuit it's characteristic 75 ohm impedance. In CATV installations, the shield is grounded at the entry to every home (or should be). I do not know of any RF system that carries the signal on the shield of the cable.
If you want to do it right, put in a BNC connector and make the splice with a 'barrel' or put one of each gender of BNC connector in there.
Good Luck!
It is only my opinion, based on my experience and education...I am always willing to learn, educate me!
Daron J. Wilson, RCDD
daron.wilson@lhmorris.com