Our daughter is currently working in a school in Osaka and we're thinking of going to Japan to see her and for a sight-seeing trip (first visit).We are a couple and 17 year old son. We will probably go from 22 June to 2 July. I know it's not the best time for weather but we are restricted by Uni holidays.If we based ourselves in Osaka (Cross Hotel if possible), then could we see most of the interesting sights , except for Takayama, Tokyo and Hakone, on day trips? For example, 4 nights in Osaka with day trips to Kyoto, Nara and Himeji, then 4 nights in Tokyo, Hakone and Takayama before coming back to Osaka for 2 more nights. With such a limited time and so much we want to see, I'm finding it difficult to work out the best itinerary.