None of the Sassie companies you listed require you to submit an invoice and I don't think Coyle does either, but I haven't shopped for them in a long time, so not sure. The only ones that I know of that require it are Maritz, which is now part of IPSOS but still requires an invoice on Maritz site and Cirrus whom I don't work for. There maybe some others that I can't think of right now.
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The more I learn about people...the more I like my dog..
Mark Twain