Traditional ryokan in Hakone where you'lll have :
Meals: Breakfast and dinner included
Private onsen in your room (depends on the room)
Mt Fuji view: Yes, weather dependent

Transport from Tokyo:
Tokyo → Odawara → Hakone Yumoto → bus to Motohakone
Total time: approx. 2h20 to 2h40

Nearest public transport:
Bus stop Motohakone-ko
2 to 3 minutes walk

Location: On Lake Ashi. Good access to pirate ship cruise and torii gate.