Greetings Mark,
Long range situations such as your are often complex and require a bit of luck. Before I mention any gear, some realistic expectations are important.
Other than PBS WUND on real channel (RF) 20, your plot reflects weak to very weak signals. Further, it is complicated by signals coming from different directions with many in 2-edge conditions.
Two edge conditions are challenging due to the fact that you don't have line of sight to the towers you wish to receive from. These signals are blocked, bent and can vary quite a bit depending on atmospheric conditions. As such, in these very weak states signals such as CBS WNCT RF 10, you could in theory get reception but you may be prone to drop outs. FOX WFXI may be even worse being even weaker.
Further, your desire for ABC will require a great deal of luck. It is even weaker than FOX or CBS.
The end result is that PBS, NBC, CBS with an outside shot on FOX if you are lucky are doable. ABC I'd be prepared to see it occasionally if this radar plot holds true. Of course your real reception may vary due to circumstances this map can't predict.
This means you need one of the most aggressive set ups to have a chance. I would install a
Antennas Direct DB8 http://http://www.solidsignal.com/pview.asp?p=db8. I would add a second antenna in an
Antennacraft Y10-7-13 http://http://www.solidsignal.com/pv...-7-13&ss=13610.
The DB8 is a UHF design covering real channels 14 and up, while the Y10-7-13 focuses on real channels 7-13. In your case you need strong antennas in both bands. Both antennas would be mounted on the same mast about 4' apart pointed in the same direction (for heading see below) at the best possible location above your roof clear of obstacles (trees, etc).
I would put these antennas on a rotor above your roof so you would have the ability to turn to face each channel. With the antennas above, your reception beam in front of these antenna is narrower (which focuses their reception field) than many other antennas, so it is an absolute must to be able to line up on these weak signals. You have three headings to be concerned with: 260, 209 and 247. Another complicating factor, due to the signals being 2 - edge, the signals may bounce and do better from another heading. You just have to try. Examples of rotors are here:
http://http://www.solidsignal.com/cv...tenna Rotators
Lastly, I'd add a
Antennas Direct EU385CF-1 signal combiner.
http://http://www.solidsignal.com/pv...u=853748001705. This allows you to combine both the DB8 and Y10-7-13 into one lead. The DB8 coax would go into the combiner UHF input, while the Y10-7-13 coax would run to the VHF side of the combiner input. Your single coax would then leave the combiner and head into your home.
I would be leery about a preamp in your case. It may be tempting. With PBS WUND throwing 63 db of signal on you not terribly off axis from the signals you want, the possibility of overloading your TV tuner is there. I would put this set up in place without the preamp.
This may seem like a complex set up. With a mixture of a strong with weak to very weak 2-edge signals you are trying for requires an elaborate set up.
It's rough but it's doable for the PBS, NBC, IND and CBS. FOX and ABC with this set up may not be as reliable as you'd like.
As they say, you have to build it to find out the "rest of the story". The map only gives you a decent idea of what it takes.
Best,
SS