How much does tooth shaping cost vs a crown?

$ vs. $$$ - $$$$. Tooth shaping is called enameloplasty or odontoplasty & dentists usu charge a very minimal amount from $0 - $100 per tooth. Depending on where you live in the U.S., a crown can range anywhere from $500 - $2000. The range in cost is due to type of material used, the type of practice you're at (primarily dmo insurance dependent or boutique), the skill of the dentist, the quality of the dental lab.
Depend the DDS. Some dds is down to earth and charge very reasonable fees, while some dds is in it for the money. Ask many friends and relatives or some senior dds who cares about patient and not for the money. Almost all tooth needs to be reshaped before doing the crown in order to fit the opposing tooth during bite.