Some pointers.

Basket removal is where a balloon catheter is inserted to expand things and allow a sort of basket to grip the stone and fish it out.
Brilliant picture of it on the University of Texas-Houston site. http://utsurg.uth.tmc.edu/digestive/gallstone/gall6.html
They should be able to advise you of a graduate in your area which carries out the procedure.
Medstone International Inc. manufacture FDA approved shockwave lithotripsy equipment and should be able to tell you who does that near you.
100 Columbia, Suite 100 Aliso Viejo, CA 92656 (949) 448-7700
Hope this helps.

http://utsurg.uth.tmc.edu/digestive/gallstone/gall6.html