You might consider one in Nagano, Gunma, or Fukushima if you'd like to do an overnight. Compare it to the cherry blossom map and pick an area a little colder or warmer than Tokyo and Osaka to hedge your blossom bets.
My general feeling about Hakone
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Beppu... Beppu itself is like older Reno while Kurokawa is upscale carefully curated Colorado high end ski resort. They're not that far apart and Yufuin is also between them which is a cuter town with some shopping and sightseeing. I finally visited Beppu (an onsen mecca) and stayed in JR Kyushu Blossom Oita on top of the train station which was a great choice for me as I had a few other small onsen ryokan stays planned in the Aso region.