You're probably not going to find anything around that budget in the UK, as pricing is much higher over there. Check the dedicated offers forum on here - you can easily get a box in Germany or such for that price. My box in Germany gets great speeds to the UK, so you shouldn't have much of an issue there.
They are a llittle above that for nice hardware, but they may have a cheap-o celeron kicking around for ya :-)
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I'm sure Layered Tech could set you up with something. Your Windows license may make the price a little over $100 ($110) or so, but other than that $100 is a reasonable price point for a budget server .
I have a box at LT and it's been great, very stable and while support is a bit slow whatever I need done has always gotten done. They had a network blip a few days ago, but that seems to have only affected a few people. Other than that their Savvis network is extremely stable.
Do you need a regular version of Microsoft Windows or Windows Server edition? If Windows server edition, you can enable remote desktop connection and use RDP from your workstation to access the server. Good luck.