Sadly, in some cases, it can actually be cheaper to keep cable TV. If I subscribed just to Ultimate internet that's $120 taxes in. Keep basic cable TV at $40, and then 70% off Ultimate becomes $36, so taxes in I'm less than $80 for both services!
The same math on Express shows internet only to be $63, or bundle it with basic cable for 70% off and you can have both for $59
It's not the $45 you're looking for, nor does it have a higher cap, but you're essentially getting basic TV for free which is better than nothing.