According to the DHC website, the 5th place game could be at either 1:30 or 4 ET on Thursday (that's 8:30 a.m. or 11 a.m. Hawaii time), probably depending on how big of a rating ESPN thinks the 7th and 5th place matchups would get.
http://espnevents.com/diamond-head-classic/news-and-updat.../
Either time slot is scheduled for ESPNU or ESPN3, but the ESPN website shows ESPNU having a rerun of the Bahamas Bowl Thursday at 1:00, which means the 1:30 game would only be on ESPN3. I'd really hate for us to get the 1:30 game. I know that the Ohio website says 4:00 but maybe that hasn't been decided yet; my Directv guide says the 7th place game will go at 4:00. It would really suck if the game to determine a higher finish winds up on only on the Internet. Especially since ESPN2 has throw-away programming all day until 6:30.