You can host somewhere where it is mainly limited by bandwidth instead of traffic. So something like a hetzner dedicated server wouldn't be impacted by this (it's 1GB/s unlimited). The worst that can happen is that your site is sluggish or that hetzner takes it offline due to excessive usage (but I've only heard that happen when you use the full bandwidth for weeks and it is your fault).
Plenty other providers have similar offers, its not a given that you pay by traffic.