Yes, you can repair the appliance yourself and save on the cost of labor and services charges. Unfortunately, when these triple burners go bad in the manner you describe, there is no way to repair only the portion that is burned out. The burner is one complete piece and needs to be replaced as an entire assembly. The following link explains how:
http://www.fixya.com/support/r3692628-surface_burner_replacement_electric
Replacements parts can be purchased from any of the following websites:
searspartrsdirect.com
pcappliancerepair.com
appliancepartspros.com
repairclinic.com
Prices vary between sites, so shop and compare. the first three sites listed also have helpful exploded view parts illustrations to assist you with locating and properly identifying the parts you may need. I suspect your model number is actually 790.96593601 or 790.96593602. These are the only two numbers that cross to the model number you provided. If I'm not correct, please post back with your COMPLETE model number.
The part number for the triple burner is 316216702. Keep in mind, this part, alone is not cheap. The cheapest price I found was about $120 at appliancepartspros.com. However, you would spend much more if you included the added price of a service call and labor charges. Use the part number provided to search any other web sources you like to see if you can find the burner listed elsewhere for a better price. Use the part number as some websites may not list your particlar model, but will carry most parts.
If you have any questions please post back and let me know. I hope this helps you.