Just back and I picked up English copies of the various "free pass" options offered by the Odakyu line, which leaves from Shinjuku station. The Hakone freepass, which pretty much covers wherever you would want to go, is Y4,700 on weekdays (good up to 2 days) and Y5,500 on weekends and holidays (good up to 3 days), but they do cheat and charge a Y870 supplement each way if you want to ride the limited express train called the "Romance Car" apparently because Hakone is a popular honeymoon destination.
There's a more expensive Fuji-Hakone pass for Y7,200 valid for up to 3 days, but I don't think anyone would need this.
Odakyu will also sell a package including a hotel stay.
There was a new one day Enoshima/Kamakura Odakyu freepass, at least new to me, for Y1,430 (extra Y600 each way for "romance car"). It sort of goes around the back way to Kamakura but includes free rides on the wonderful old trolley, the Enoden line, and will end up cheaper than JR.
All of these can be arranged at the Odakyu tour window inside the West entrance of Shinjuku station where you might even find someone who knows a bit of English -- and will almost certainly find the English pamphlets.