Check out FeaturePrice. They offer unlimited space on they 24$/month plan. They also say that they don't have a limit on bandwith, and this is what they say in there FAQ
"Q: I have a high bandwidth website and will be using several dozen gigabytes of data transfer per month. Can I host with your service?
A: If you use that much data transfer, we truly recommend that you wait for our high bandwidth plans which we will release in the next two months. Until then, we recommend that you host your websites with companies whom have a high allowance of data transfer. Please note that companies offering "unlimited" transfer are very likely to shut down your website once they notice it transfers a high amount of data."
"Q: I have a high bandwidth website and will be using several dozen gigabytes of data transfer per month. Can I host with your service?
A: If you use that much data transfer, we truly recommend that you wait for our high bandwidth plans which we will release in the next two months. Until then, we recommend that you host your websites with companies whom have a high allowance of data transfer. Please note that companies offering "unlimited" transfer are very likely to shut down your website once they notice it transfers a high amount of data."