Overall, the company name should be all on one line. Not a fan of the font used, text too heavy. Avoid the use of the company acronym, UHG. It's too close to UGH, an exasperated sigh, and we want to avoid that correlation. Entries #5 and #4 are clever, but it take to long to realize the negative space "H".
A good direction would be a single line company name accompanied by a relative brand icon.