1MBps is absolutely nothing on LTE. One of the reasons T-Mobile has such great service at football games is became most football fans are on AT&T and Verizon. Even moreso when not in a stadium. Head over to howardforums and reddit to see lots of imgur screencaptures of users' latest speeds. Usual is 35mbps in metropolises, extremes of >100mbps in Portland.
maintain connectivity no
technical issues no
I will say that I'm not sure exactly how anyone would be using 2TB/month---what exactly are they downloading? If it's a lot, they can't be downloading that much every single month, because they'd run out of storage space, and that's a hell of a lot of streaming video, even at 4K...
so that would be your best avenue of attack IMO.