BTW can share where to view the Jr west timetable ? Would be helpful.
I tried looking through hyperdia train schedule but couldn't find this kodoma number.
Try this
press release webpage? I won't be too concerned over the timetable schedules for the Eva 500 series Shinkansen because it is clearly stated that the operating service will start in 2015 Autumn period and there are only 2 trains service slots for this special Evangelion run (via Kodama 730 and 741 services) and typically since Autumn season starts in Japan from mid-Oct onwards, you are pretty much safe and should definitely be able to ride on this since you have mentioned you are heading there during upcoming Nov.
It's worth noting that based on the advertisement off JR West Japan's website and
wikipedia info the 500 Series Shinkansen is strictly an all-stations Kodama train service and will also only exclusively be on the Sanyo Shinkansen lines (covered stations/route map can be
viewed here for those unfamiliar with Sanyo Shinkansen service)
IMO, not exactly very wise idea to cover yr tracks all the way from Shin-Osaka to Hakata if you are planning a trip to Kyushu since that's a close to 5-hours ride, but if you are just thinking of dropping by certain places to check out locations like Himeiji, Okayama etc while departing from Shin-Osaka while on a JR pass, checking this train service out may not be such a bad idea afterall. (I will be there in late-October for some events and will also stay in Osaka so quite likely chance for me to ride on this special train service i guess)
