There is no 'best' height for an antenna. There are 'better' heights for the combination of antennas and locations. The absolute bottom line is that more is better. The best height for your antenna in your location is whatever is most -practical- for you.
The highest that you should aim for is something around a quarter mile. After that feed line losses just get to be impractical...
- 'Doc
I like 'Doc's idea here, and hookedon6 makes a good point to clarify the term ground waves.
Besides how height affects the antenna match, which is not always good unless you re-tune for the install height, higher may only be better to a point.
I have a buddy that has his Maco V58 up to about 108' feet, and he is a bit over 55 miles due North from me. He can talk pretty easily into San Antonio, Austin, Waco, and over toward Tyler, with conditions permitting. Sometimes I can hear, but not read his contacts, and sometimes I can't hear them at all.
As noted, I'm south of Tim, but sometimes he doesn't make it into Houston very well either, even while he's easily talking to Galveston, Freeport, and beyond, all of which are about as farther South of me as he is to the North.
I also hear guys much closer to Tim saying the same as me, "Tim, I can hardly hear this morning." You could check out some of my Signal Reports that I've posted here on WWDX and see how his signals vary at times. So, I know this situation is not just with my station. IMO, when this happens we're far enough away and yet close enough, and at such points we're probably reading mostly a null part of his signal...between is maximum low angle lobe and the Earth. I suspect that he's so high, sometimes his 11 meter signals just go right over me, so-to-speak, due to the very narrow maximum signal lobe that his antenna is probably makes at 120' feet.
I figure we can see the horizon at approximately 11 miles out while standing on flat ground, and as we raise up every 10' feet, nature push the horizon out another 11 miles or so. At my 40' feet I should be seeing the Earth curve a little at about 55' miles, and then my signal starts to suffer due to that curve, and to other stuff on the surface. I estimate that Tim should be able to still see the horizon out about 132 miles, and maybe his performance proves that out in the far distance.
This is all approximate, and it's not to imply that the signals stop at these points. It just suggest where the horizon likely starts to bend, where your signal starts to fall off gradually as the range increases. This general type of idea, does not take into account other objects on the surface that cause reflections that can be both good and bad, or the antenna height at the RX end of your transmission.
Most of us are restricted to heights within about 18+', which I consider high enough to get over most single level housing in neighborhoods without much attenuation, and maybe up to about 40' feet, using a simple push up pole. So, within that limited range the match and any other difference that height might make...probably has some effect, but it's probably not detectable just using your radio.
Your mileage may differ.