CIO reports to other C-suite positions in many cases so that should not be a problem, if thats the identity you want. Most people that have IT in addition to other functions don't put IT in the title, unless its CIO. "Hi I am VP-Supply Chain, but I also have IT". Purchasing and customer service are also a part of supply chain or logistics in some companies. Don't put "back office" in the title. It seems to becoming more common to put multiple functions in the title also but I'm not a fan of it. How about Sr VP Logistics or Sr VP Logistics/CIO if you want.I wonder if I could get away with CAO or CIO. Close call. From my research, it appears both those titles are roughly equivalent to COO, but I still report to the COO, so I don't know if he would approve that or not. Might look kind of ballsy to suggest, but I like the sound of those. VP of Business Development sounds good, but I think it's too closely tied into sales, which is the one area not under my domain.
I think VP Supply Chain is the best answer. You can easily state that IT is a part of the supply chain and everything else is a natural fit IMO