If you're catering to legal files you will just need a network that allows peer2peer traffic. For illegal ones, you need to look towards offshore providers which will cost you a lot more, depending on what you need.
High Bandwidth Servers
Custom Hosting Solutions
Sorry but your budget is too low for a managed server
For about 150-200$ you might be able to find a managed solution. Good luck with it.
» www.InstantDedicated.com - Online in no time » Dedicated Servers in [EU] Netherlands with DAILY support, also on weekends » DDOS Protected network - 100% Money Back if it doesn't work for you » Streaming / IPTV allowed | Up to 10 Gbit ports | 100% Network Uptime