What is your budget for a device programmer, and how soon do you need one?
The BP Microsystems BP-1200 and BP-1400 device programmers support programming the CY7C64013. If you are patient and not in a hurry, sometimes those can be found around the $100 range on eBay, including the DIP socket module. Don't see any in that range listed currently. Those are older models which need a PC with an LPT port. The newer USB interface BP-1410, BP-1610, BP-1710 models are a lot less common on eBay, and a lot more expensive. The BP-1410 and BP-1610 I have were somewhere closer to the $400-$500 range when I acquired them a while ago.
If you have a final version of your firmware and won't be needing to iterate through testing and revision cycles one at a time, maybe you could also find someone who would be willing to batch program them for you?