I doubt something at $6 a month would work. That's most likely a shared hosting plan which means your account is on a server with other sites and your account would be closely monitored to ensure it doesn't consume too much processing power, RAM or something like that. So that means you would most likely be looking at VPS accounts and dedicated server accounts which can range in price from ~$20/30 and easily exceeding a couple hundred a month depending on the processing power, ram, disk space, data transfer, etc.
good luck