I own and like my Geddy Lee. Especially the neck.
For your situation with your hand(s) I think a Road Worn or 60s classic may be even better. My Road Worn Jazzes have slim necks also but not as wide. Easier to play, IMO. Now they are modeled after '60s style necks so you could also look to the Classic 60s Jazzes.
Just a suggestion. My 2 favorite necks are the Geddy and the RW.
Fender Jazz Bass Club #1090
Tech 21 Processing