MF was mentioned above, and here it states their SEs come with a gig bag.

Single-cutaway korina body
Acrylic finish
Set korina neck
Set construction
Wide fat neck shape
25" scale length
Rosewood fretboard
22 frets
10" radius
Bird inlays
Nickel hardware
PRS-stoptail bridge
PRS-designed tuners
Single soapbar pickup in bridge position
Volume control
PRS Cordura gig bag