Okay, I will now intrude into the EFHW mindset with some antenna sacrilege. I have also read testimonials about the end fed terminated inverted Vee antenna. Following the directions available I hoisted a wire and placed a counterpoise beneath it and leads to ground rods at each end. I built another 9:1 transformer, terminated the wire with a 100watt 470 Ohm resistor, and found out the SWR was never below 2:1 anywhere. Fiddled around with the leads to ground or not, removed the terminating resistor and tried a delta loop, then endfed non-terminated... then I put it back as it was originally, but put a 5:1 transformer inline instead of the 9:1. Yes, it's wrong for the 470 Ohm resistor, but at this point, why not. The elusive one-wire-all-band-no-tuner antenna was making me determined to either prove or disprove the idea. I know the traveling wave terminated antenna bleeds away power to ground through the resistor, but the question is, "does such an antenna actually exist?"
So, what happened so far is this:
1.8-2.0Mhz --------------- 1.7:1 SWR
3.8-4.0Mhz --------------- 1.6:1
7.175-7.3Mhz ----------- 1.25:1
14.225-14.350Mhz --- 1.1:1
18.110-18.168Mhz ---- 1.55:1
21.275-21.450Mhz ---- 1.9:1
24.930-24.999Mhz ---- 1.15:1
26.965-27.405Mhz ---- 1.1:1
28.3-28.6Mhz ------------- 1.9:1
50-54Mhz -------------------- 1.6:1
And, not perfect, but it could be used without a tuner.