With that monthly budget you can get a lot. Hivelocity.net is another company. But The offers section will do you a lot of good and make sure to look for reviews of the company. You could also go with collocating servers and it may be cheaper and you could get a management company as well.
With that budget you will have a very wide range of choices. If I were in your situation I probably would go with a server like this:
2 x E5-26XX Processors
32GB DDR3 Ram
4 x 120GB SSD's in Raid-10
Chassis that offers redundant power supplies and hot swap bays so you can replace hard drives and power supplies without downtime
Now, depending on how big your DB is you can have your database loaded directly from your memory which would make it incredibly fast and eliminate any IO issues you would have. You would need a further setup with like Nginx though to be able to handle that many concurrent visitors smoothly though, all of which any good managed provider can do for you. Just be clear with them as to what your requirements and site needs are.
I wouldn't go for the highest hardware specs. Why pay for something you are not even going to use?
A decent E3-series, with enough RAM (16-32 GB) and SSD drives should be a good way to go.
You can always upgrade the hardware in the future and keep your investment low from beginning.
Try to see with the provider you sign up with if they are flexible on upgrades.
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E3 would be fine in his needs and even with 2 x SSD drives in software raid1 would be enough.
Sure, he might be able to get away with it on an E3 but I think it would be depend on how well setup the server is. I was also taking into consideration that his forum will probably also have some growth and common peak hours most forums have. Think about WHT, they have what, 5 servers in a load balance with similar traffic?
Most of the people commenting on this thread most likely haven't dealt with the amount of traffic your site receives. You can't just throw hardware at this project and expect it to run flawlessly + have some sort of redundancy/load balancing (as pclhosting stated).
You might want to have a professional company deal with your case... Softlayer is a safe bet. Even for a bit to educate yourself (if you want to cut overhead in the future).
The reason I say this is because it's not so much the hardware, but what you run under the hood that matters most. Good luck.
I also do not think you need a full E5 26xx setup, rather either an E3 12xxv3 or an E5 16xxv2 model cpus, 32gb ram, 4x128gb ssds in h/w raid10 for speed and redundancy since you have the budget. Just be sure to properly optimize the server, use caching where necessary, perhaps use a web server other than Apache such as nginx, lighttpd or litespeed (paid version). We have some customers who run very busy vB forums as well and on the 26xx servers they have 2 or 3 of them if everything is properly tuned.
Also, why do you need 1gbps unmetered port? Do you have a lot of images/videos on the forum? If it's just forum post, you can probably get away with 100tb or even 30tb on 1gbps port to save some costs.
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