DHCP Lease Time Too Fast

(2nd attempt writing as a page error deleted the first post)

I've been having for the past month+ a 5-10 second drop in all Internet traffic every 30 minutes or so and it's super frustrating. Especially when it comes to live video streaming and online gaming. 

I've traced the problem to the DHCP IP address lease time coming from Comcast's servers. Every time it gets a new lease, there's a service drop. Comcast's leases have been switching from 1 hour to 2 hours and back to 1 again. Since it updates after half the time has elapsed, it's causing 2 drops every 90 minutes, 30 minutes apart.

I've contacted customer service to no avail. They keep blaming me, the customer, as their scripts tell them to. See, it's just that my device needs to be restarted (no it doesn't). Or my device is so old (no it isn't). I think my favorite excuse so far has been that nobody else in my area is complaining about it so it really must not be a problem.

What will it take to get Comcast to up my lease time to something more reasonable? It's usually a 4 days (awesome), but heck, I'd take even 24 hrs or 8 hrs. A drop every 4 hours would be glorious in comparison to the drops I'm currently getting.

Please. Help.