Someone should make a cylindrical box that replaces the wheel so that the freed up space can be used for the storage for a pump & sealant and hopefully there would still be some space left for other less essential items (that the wife might want to take). The box could be in two depths, one shallow so that the closed lid replicates the sport, or a deeper one with the same volume as the wheel.
Maybe something to add to Cains increasingly large list of useful items?