You're right, spliting the 6th channel into two speakers will just be in mono. I am not aware of any technigue you can do at home that will do that in stereo. The 6th and 7th channels for the back get discreet signals from two separate amps fed by the receiver's digital processors that have extracted those discreet signals from the source or from a simulating digital process.
And since your receiver hardware itself only has 6.1 speaker terminals, I also doubt if upgrading the internal DSP chip, if that's possible at all, will allow you to enjoy 7.1
I know many recievers can accept a software upgrade to accept newer DSP soundfields or to process newer channel formats via some downloading ability or from a CD player. But changing the innards is something else. THough this may be possible through their service centers. But you'd still be limited by the reciever's speaker terminals. Unless you have them modified professionally.
There may be some devices out there that can do some processing to convert a mono signal to stereo, I think I may have encountered something like this in the past but haven't tried. Even my PC softwares can't convert mono to stereo, though that's more because I never really tried.
Nor have the interest to do so.
But that's me, perhaps other members out there have a better suggestion.