Let's see. Less than a week out, top tourist destination, special meal needs, no Japanese. You don't ask for much, do you?
Here is a link to an English-language booking service that I trust. I've linked the page for the Hakone offerings. You will have to investigate the various properties and inquire as to whether there is availability at such short notice. You might also put in the information about meal requests. I've found that this service is very good about replying quickly - usually within 24 hours.
http://www.japanhotel.net/data/pref/...WA&Area=HAKONE
As
LapLap said - good luck!
JR