Not sure, NK, I'll have to check.  I do remember one year in the early 1970s, I think it was, when Bill Hess had a team that beat two "big time" teams on the road but had trouble in the conference and at home.  Even though this is football (you mentioned Solich), it's best I can come up with in terms of a better road then home record.  

OK, I looked it up.  It was 1971.  The big time victories were 35-6 against Kentucky and 30-7 against Tulane (yes they were big time back then).  On the road Ohio also had close losses to Virginia Tech (37-29; only decided late in the 4th Qt.) and Toledo (31-28) and victories against Marshall (30-0) and Miami (3-0).  However, they lost to BG (20-19), WMU (28-14) and Cincinnati (23-15) at home.  The only home victory was against Kent State (37-21).  There were only four home games that season and six away games.  The home record was 1-3 and the road record was 4-2 for a season record of 5-5.  Best I could come up with on short order.

Boy, you are quick anorris.  As you were posting your playful poke at me, I was editing my post to make it clear that I realized what forum I was in.  Didn't want you whippersnappers to think that us old geezers were all losing it.