Looking at your budget , seems like you're likely to be at burst.net , especially since you need more than 100mbps unmetered for lower price .
If you really must have a dedicated server , then very few choices , but then you could always go in for a high end xen based vps with more ram than you might require .
The market at present is loaded with xen vps offers .
So you can take your pick .
It's going to be hard finding a decent provider for that price, but you can always try off course.
Did you already check the advertising section?
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If you have the ability, raise your budget a find a good provider with a good network. If you don't, you do mention that you are using alot of peak bandwidth. Is this consistent? How much total overall transfer do you use per month?
I have some "busy hours" that my site is using 70-90Mbps, and hours that my site is using less than 40Mbps.
so at the bottom line it something around 15-20TB per month, but it just grow up from month to month..