Hi It is not so hard to find router with Gigabit port connection you just don't look close enough. Look in linksys of netgear website and I am sure you find one with Gigabit connection. Look here is one of many G54 WIRELESS ROUTER WGR614 I find in just 30 sec. I hope this will help.
I have read your post closely now and you want modem with Gi port. Hmm I don't think so you can get one for the price under 1000$ something like cisco 800 series with hwic gig card. But I don't you need one because there is no service provider which can give you more than 100mb connection and to connect your pc to with Gi speed you can buy router or switch for the trice under 50$
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