No, you're not going to be happy with a Verizon 4G card compared to Comcast. They're comparable to early-2000s DSL, but with higher latency. Completely usable for day-to-day work, but not so fast that you can stream Netflix just as easily as changing the channel on your TV.
I wouldn't be happy either if my only choice was Comcast, but then I'd get over it and sign up.
Do they have a monopoly over all Internet service at your building, or just cable? AT&T can't deliver DSL to you over their copper?