First off, we really like all of your designs. Great variety and you clearly followed our criteria.
Entry 7 - Wow! This is so close to what we are looking for. Having said that, there are two of us reviewing the designs. I immediately saw the "H" in the graphic; my partner only saw the two "L"s. Once I pointed out the "H," she now sees it. Obviously, the "H" is the most important letter in the graphic. If possible, we would love to see this design tweaked in some way to make the "H" more readily apparent. (Although we want the "H" to be more apparent, we don't want it to detract from the cleverness of your design.) As a side note, if there were a way to have an H, L and M in this type of graphic, that would be a home run. However, we are very pleased with what you have done with the H and the Ls in the graphic.
Entry 14 - We are surprised at how much we like this design because we really are looking for a graphic element along with our name. We love the depth you have given to this graphic and the name stands out.
Entry 10 - The "&" almost draws a little too much attention on a black background. Could we see this with a grey or silver square, similar to the one you designed in Entry 12.