What would it look like with the tops of the H sticking out of the square a little?
can you try a few fonts for the 'Edge Home' such as Lombok which can be downloaded from:
https://www.dropbox.com/s/9fbyg02m5qy831g/LOMBOK_TYPEFACE.zip?dl=0and Anders which can be downloaded from here:
https://www.dropbox.com/s/1i9k0ut077acrlj/Anders.ttfand a paint brush stroke font like
http://dl.dafont.com/dl/?f=brush_strokescan you add some dimension to it like a drop shadow, or a red with black shadow, or a gradient from red to black?