I'd make the following comments ....
- Personally, I've been to Hakone a couple of time and thought that it was massively overrated. But I suspect that this depends a lot on where you stay there.
- Traveling to Fukuoka and working your way back up sounds like a good idea. The only potential issue is that there isn't much luggage space on the shinkansen so traveling with a large suitcase could be an issue (I normally use a smaller case for the periods of my holidays I'm outside Tokyo (think cabin bag size) and leave my large suitcase in the Tokyo hotel. Make sure you have okonomiyaki in Hiroshima as it's different from varieties you get in Osaka and Tokyo.
- Depending on the time of year you go you might need to make sure you have a backup plan if you are flying internally. I've only done it once (New Chitose (Sapporo) to Kansai (Osaka)) but was very lucky as the last big typhoon of the season was bearing down on Osaka and it was very touch and go whether we would be able to fly (we were the last plane into Kansai airport before it was closed and they were shutting down the rail station as we got into Osaka) .... if we hadn't we would have been stuck in Hokkaido. If you are flying internationally on a Japanese carrier you might be able to get a deal on any internal flights (I know JAL have done this in the past although I don't know if they have any offers on at the moment).
Roll on Autumn 2018 for my next trip ...
Thanks for that, and I have just booked my internal flight from Narita to Fukuoka.
I land in Narita at 10:30am. Flight from Narita to Fukuoka is 1:30pm so should be plenty of time, cost £75 so not too bad, last night it was £150 for the same trip for some reason…
Also booked first night in Fukuoka, nothing too adventurous, Royal Park right next to the station and near the centre. Soon as I checked in I am grabbing some Ramen and then wake up early to see some shrines before checking out.
Re luggage…I am tempted to go all small, cabin size suitcase with 1 messenger bag. It would be so much faster and easier, I just need to pack conservatively. I might just do that for the first week and buy a suitcase in Tokyo and use that to carry goodies back home.