Welcome to the forum.
My boy don't do well on lamb, but he does eat fish based foods.
That is just one out of three b's that I have, so its just him.
Cesar Milan is an abusive POC. Please, I beg you, read up, don't do his nonsense to your dear dog!
Here is a thread with links and info on trainers.
http://www.basenjiforums.com/showthread.php?t=9598
I agree Debra. Harsh treatments won't work for our beoved b's.
My girls do well on lamb, also on fish, chicken, foods with oatmeal, rice, sweet potato, various veggies (one of their "treats" is frozen green beans - they think they are koolpops. Unless you discover an allergy after feeding them something specific, our B's will tolerate lots of foods.
I was told to always look for Lamb as the main ingredient and to stick with Iams or the other top brand. I've had a rescue dog that had been mistreated, bit thru my boot and all, when I went to push him out the door. He got to know me and never a problem after that, well almost.
Dave
I feed my B Taste of the Wild, both Salmon and Bison protein based dry foods and occasionally wet as well…She does really well on both but the Salmon can give her gas which smells fishy...lol, but she loves it.
I was told to always look for Lamb as the main ingredient and to stick with Iams or the other top brand. I've had a rescue dog that had been mistreated, bit thru my boot and all, when I went to push him out the door. He got to know me and never a problem after that, well almost.
Dave
Sorry, Iams isn't that great, not even in the top 50 of Whole Dog Journals.
Whoever told you to just use lamb probably needs some reeducation.
Paco loves canned tuna. He nom nom noms it up.
When I took him to the vet after he turned one, the vet asked if I had been feeding him fish because there was something in his stool that looked suspicious. I said he'd had canned tuna but that was all, and apparently that was fine.
Coincidentally, the packaging on this product intersects with this discussion topic:
http://www.vitaldogfood.com/product-lamb.htm
It's the lamb and ocean whitefish formula of Vital brand refrigerated dog foods. And if you'll notice, there's a basenji on the packaging. 
I recently had a chance to do a feeding trial and write up a review of these foods, and was only slightly miffed that they did NOT include the one product that actually has a basenji on it… though they sent us practically everything else!
Oh and to add to this conversation, our Basenji gets pretty much all commercially available proteins, including lamb and lots of fish. She'll take lamb in kibble form, doesn't much like it raw or as chew treats, and she eats fish in kibble and raw form. She does seem to do well with red meat, but not entirely beef-based recipes.
The situation will, of course, vary with each dog.
I'm always switching Magnum's protein, in the hopes of not enticing an allergy. So he has had most commericially-available protein sources. No problems at all (fingers crossed), even with chicken, which is the top protein allergen (according to my sources and research).
