As the club doesn't sell anything with our full name on how about writing to the club and asking for permission to use the name and the old badge to produce our own merchandise?
Or give a nod to the recent past and put City Hull, There are plenty of other options. We could even create our own unique badge, as some wanted to do anyway. We could have Hull, City (of culture) and be a bit cute with the font size of the comma and 'of culture'.
Or have designs with no name, but other references to City or fer ark etc.