I think really one of the few other alternatives you have is maybe MediaTemple, but they don't use cPanel if you're more comfortable with that, and their grid is fairly new so you may have some issues with that. As well as some pretty needed features in the coming soon stage. I think if you're looking for confirmation on HostingZoom more then anything then most around here would green flag them. I noticed they do have a setup fee though, so keep that in-mind.
Phone support is not essential for a hosting business, and in some cases, phone support leads to having to wait for a reply anyways. Especially for some issues, it is hard to communicate over the phone (eg web links, etc..). I have found that ticket/email support is much more effecient, as long as the team answering answers in a timely manner.
If you get live chat support, I see little reason to go further and require phone support. But that of course is just me. Most chat support and phone support is level 1 (simple questions/issues) anyway, especially with lower priced providers as the ones in our discussion here, and serious issues will require a ticket anyway. If the host is good, this should not be a downside.