The likely schedule is as follows:
Day 1
- Meet at Shinjuku
- Leave for Mishima
- Drop luggage or check-in in Mishima
- Free and easy in Mishima - Shiritaki Park, Taisha Shrine, Genbe river stepping stones,...
- Overnight stay in hotel
Day 2
- Breakfast in Mishima
- Leave for Izu Peninsula
- Hike Jogasaki coast
- Ropelift to Mount Omuro
- Hike crater rim of Mount Omuro
- Return to Mishima
- Overnight stay in hotel
Day 3 - Breakfast in Mishima
- Leave for Fuji trailhead
- Hike Mount Fuji
- Dinner and overnight in Fuji mountain shelter
Day 4
- Hike to Fuji crater rim
- Hike crater rim (optional)
- Hike Hoei crater
- Hike to Fujinomya trailhead
- Leave for Mishima
- Overnight stay in hostel
Day 5
- Breakfast in Mishima
- Optional: Leave for Yamanaka Castle
- Optional: Mishima Sky Walk
- Leave for Mishima
- Leave for Tokyo or your onward destination in the afternoon