I answered your original question here:
I'd still say give Code Monster a try while it's on sale. If it doesn't work, then you probably need a dedicated server (unless you just run out of bandwidth--then you can just upgrade to Strictly Business). At least with DH, you'll have an option between using the 97 day money back guarantee, or an easy upgrade to one of their dedicated servers, that use the same control panel you'll be used to with the shared plan.
The games are yours, that you wrote, right? They are strict on any type of piracy. Even if they are yours, I'd make sure you don't have a forum or some other means for people to trade stuff, or link to pirated games.
Save $96 at Dreamhost with the 96DOLLARSOFF promo code.