Khar is the way to go for concealed carry.
http://www.kahr.com/PA-1_40sw.html
All of the Kahr .40SW are .94 inches wide. The P239 is 1.2 inches wide.
I carry a Kel-Tec P40 (P-11 that shoots 40SW) and it has an interchangable barrel for .357sig. You want to carry the lightest rounds you can, to help with the recoil. Also, no p+ ammo.