If you really want the drum, here is your best option.
1A (if you have time on your hands) - Draft a letter to both the Illinois and Florida Attorney General offices. Detail what happened. State your belief that you have been defrauded by their business practices and you are asking them to investigate. If you want to get fancy, state that the conduct is a violation of the Florida Deceptive and Unfair Trade Practices Act (FDUTPA) (you can look up the equivalent for Illinois).
Send the letter to the company - if it's registered to do business in Illinois (Inc., LLC, etc.) run a search of the name here:
http://www.ilsos.gov/corporatellc/
Get the name of the registered agent and/or president/owner. Send the letter with a note that if you don't hear back from them within X days, you send your letter to the Attorneys General and then proceed with your own legal action.
Profit.
1B (if you have less time) - Call the company and tell them you're going to do everything in 1A if you don't get the drum.
Fucking around with credit card chargebacks is not going to get you the drum.