What is the best procedure for a crepey neck? (Photo)

Thanks for posting your photo.  In my opinion a mini lift would not be adequate to address the loos skin of the neck.  I would advise a neck lift and/or lower facelift to get the desired results.  Please consult with several board certified experienced surgeons.  

For the pictures that you post. The cords
that you see in your neck need to be corrected with the work in the Platysma
muscle and also the looseness in your neck need to be corrected with the skin removal. This to steps are done at the same time and
during the Neck Lift operation.