I like the intent.  Penalizing rarely works, or rather, is rarely accepted by the populace.  Incentivizing usually works better.  For example, I knew a landlord that made the rent due on the 10th of each month, but if you paid by the 1st, he gave you a discount! Yay, discount!  Which was the same as charging normal rent on the 1st and charging a late fee by the 10th ...

I'm not very creative, so i don't have any better ideas.

It would be difficult to prevent abuse of the system.  Abuse of any system, really ...

Most residential internet (at least Comcast/Xfinity) does not have a static IP address.  It may be available at an additional fee, not 100% since I've never tried to get a static IP.