So I have an insanely profitable URL target on TV, but it gets rejected every few months
Has anyone ever had any luck getting them to give you an exception and allow you to run traffic to offers/targets they usually do not allow?
I had a publisher in this same scenario, it is usually pretty difficult to overturn their decision.
did you try its variations??
What does your rep say when you talk to them on the phone about it?
Try other sources too. LI etc. You should also create some banners based on your LP (i assume you already know your stuff when it comes to colors, text, call to action buttons etc) and buy traffic from the site itself. You can always go direct or through SiteScout and similar exchanges. More traffic (not just the visitors who got the the TV exe installed), more conversions, same demo / audience. Milk that motherf*cker to death! 
Oh, one more thing: If you can't find the site on SiteScout, that doesn't mean you can't get traffic from there. Just create a RON campaign and use the whitelist option with your target domain only. It worked for me in the past!