My opinion it that most people are looking for the fast hosts. If you are only going to be using a few dozen mb you should be able to go with a shared hosting account. I would think at the most you would need a resellers account, but i don't think that should be an issue.
You best bet is to contact a few web hosting providers and ask them for an ip on the server and ping the ip. You also want to take into consideration the type of servers they are running, along with cpu's and memory. So when you contact them, get that info too.