Call Cary,I'm sure they will help you.They have a lot of the remote codes on the website but not for the SLI-80.
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I don't know that you can find a halfway decent universal remote for less than $100. Especially if you expect it to have commands of fairly esoteric equipment such as Cary, available in the Data base.
Try to find a used Logitech on eBay or if you have and iPhone is there a remote application you can get for that? Maybe with some type of IR repeater.