I've got two gripes with the HTC One as a "Nexus" device. First, it's got hard buttons for home/back/etc., rather than the soft buttons that Google seems to prefer. Second, HTC seems to be self-destructing as a company.
Unless you're in a hurry, I'd wait for the Motorola "X Phone" to come out and see what that's got going for it.
Meanwhile, I read somewhere today that the Verizon variant on the Samsung GS4 can use the AWS spectrum where Verizon is now expanding their LTE coverage. That means you can have that LTE coverage all to yourself. But then you're not going to have the "Nexus experience", at least not without hacking your phone and downloading sketchy software builds from people on Rootswiki.