1. Get a twin lead to coax balun. A couple of bucks at Radio Shack.
2. Connect a coax cable to your TV and run it to your nearest window. Connect the balun to the other end of the cable.
3. Get a 6 ft. or so length of twinlead and connect one end to the coax balun. Soldering is best but twist-on will get you by if you do a good job.
4. Split the twin lead with a pair of scissors and pull it out to two individual wires about a foot in length. Bend them out so they make a Y shape.
5. Hang the twinlead out the window and you will beat any indoor antenna every invented at 1/10 the price or better. You can diddle with the length of the split wires and the horizontal vs. vertical position to optimize reception.
6. Alternate plan: just hook the balun to the TV and run the twin lead to the window. You will need a short cable or an adapter for this scheme. Then follow 4 above. That will be almost as good.
I like your plan, though I’d be tempted to go from 75-ohm to 300 ohm right at the connector.
Also. a 4 inch wide strip of aluminum foil wrapped around the twin lead, after sliding around to find the best spot, may help the user hone in on channel 6.