I'm leery of the Hudson Bay style. I think the very short eyes on these axes are hard on the hafts. I'd look for something where the ratio of bit length to eye length is a bit closer. On an HB it's almost 2:1. I'd stay closer to 1.5:1.
I'd look into a boy's axe. Some guys don't like them because of the word 'boys'. I guess it's a macho thing. Maybe their axe helps them with their self esteem.
Get the axe that does the job best. Set the ego aside.
Do you mean the eye height from top to bottom?
Did you ever use a hb?
They are very good at splitting probably equal to or better than the equivalent dayton.
I think boys axes are called 3/4' axes too.