Read the really, really, fine print in the GoDaddy plan. I had a plan that I was happy with with a “big” host and the plan advertised “unlimited storage, unlimited bandwidth, unlimited… unlimited… unlimited” - One day I awoke to find the website down. The host had made it inactive because they said our downloads were taking too much bandwidth on the shared server. I asked about my “unlimited” plan. They pointed out that the fine print said “as long as it doesn’t affect others on the server.” That same day I moved to another host.
So that’s the kind of thing you want to look for in the “plan” and then share with the client. Clients with money don’t really care if they get hit with “extra” charges… but if they think the site will go down “un-announced” some day they tend to listen to your suggestions a bit more.
Talk to Greg at Chillidog and see if he would simply shut you down without even sending you an email… I seriously doubt it. As stated, I’ve not used his services but I understand him to give very personal service.