Anywhere between $500-$700 would be a reasonable fee for BriteSmile. If you would like home trays so you can maintain your new white smile, then figure an extra $150-$200.
Porcelain veneers are considered more conservative than crowns. In my office we always prefer veneers vs. crowns considering you remove less enamel with veneers. This decision needs to be made on a case by case basis. Your dentist, if probably trained, will make his decision based upon many variables and should inform you of the pro's and con's of each procedure.
Invisalign is not the treatment of choice when correcting a deep overbite. The way Invisalign attempts to correct the overbite is by intruding the upper and bottom front teeth only. The real problem with an overbite is that the back bottom molars need to be extruded thus correcting the front teeth overbite. Conventional braces can easily correct a deep overbite and often is used in conjunction with Invisalign. The treatment could be braces only or braces on the bottom teeth first then that is followed with Invisalign aligners on the top only (after the overbite is corrected).