I assume that you have tried classical with its' wider fretboard? A custom made guitar would fit your needs but, huge $$$$. The neck would have to be hand made as well as the fretboard. Have you considered taking up
slide playing?
I met a guy who played lead in a blues band and all he used was his thumb to fret with. You can play using chord fragments and double stops. You just have to be a little more creative and really learn where the notes you want line up. Just some ideas.
I did a lesson for young kids that illustrate this point. You could catch the root with your index and the top 3 strings with your third finger since your hands are bigger and stronger. The notes are all chord tones so you can pick them in any pattern or double stops you choose. All the notes will sound right. You can then slide a finger up or down to catch notes outside that chord shape to add further interest.
A lesson for young kids.
Hope that helps. BTW. I have seen a couple of guys playing using their toes. It is a matter of will and thinking outside the box. Good luck.