Probably need both. I think you need a guy who is 100% out of his mind on the offensive side and essentially a bit crazy ( leach 25 years ago)
or a smart calculated defensive coach that keeps a solid product on his side of the ball who is sharp enough to understand that you need to take risks and hire a solid offensive coordinator that can run a system that is sustainable over a period of time. D guy needs to be smart enough to replace them. Modern day Meathead with 3/4 brain. Thinking a guy like Dan Laning who is now the head coach at Oregon. I said LIKE. Just my opinion but I think guys like this prove to be the best head coaches overall. The crazy offense guys seem to get obsessed with their side of the ball and ignore the D too long and their upside seems limited after a period of time
All that said, they still need to understand the landscape at Syracuse and what they are getting into with regard to its limitations and how they plan on dealing with them. This is priority #1 and where I would start. Dude who has best plan here would be the guy who would go to the top of my list. Like I said, a guy who has proven he could do it? even better but it would be very tough to know without actually interviewing the candidates, it's not just picking some random dude who has won at the MAC level or who is from the Northeast
What we don't need is a FIGURE HEAD, CEO or a talking head and I have NO IDEA who this coach would be but I know what I would be looking for. It could be Coach White if he has a solid plan but don't know and I don't think anybody does but I truly believe that Wildhack would know at this point what could possibly work as he has witnessed it for 4-5 years now as the AD and followed the program forever