Seeking Japan route advice (Not big 3 osaka tokyo kyoto)

Hi all, I am planning a last minute trip to Japan around 15-30 Nov , for about 1 week to 2 weeks (flexible duration).

I have already been to tokyo, osaka and kyoto and am unsure of which other nice places to go. I have read that fukuoka and Miyajima is nice, but they are quite far from each other? and not sure what is an ideal route / order to visit in.

When I was in Japan previously i really loved nature more specifically:
1. the arashiyama bamboo forest + sagano romantic train

1. kyoto fushimi inari taisha

2. nara park

3. fujikawaguchiko lake + The Chureito Pagoda

4. the mario kart in tokyo is very nice too

I'm generally a more nature/mountain/scenary person. but not interested in doing outdoor camping or staying out in the wilderness and not climbing mt. fuji.

not really interested in shopping, but love japanese food.

Sorry for the long ramble, but any recommendation on the cities to visit and ideal route/order to visit them in?

thank you