No problems with chicken.
I also would never compare chicken in kibble with raw or home cooked chicken as the differences are just too great. Not only can you really control and monitor raw and home cooked chicken and you know you haven't added ANY preservatives, kibble just as too many other things in it that would confound any assessment. If a dog is allergic to chicken kibble it could be both the way it is processed and also a particular chemical that may be used that is different to beef kibble etc...
So I wouldn't assume allergy to chicken kibble means allergy to the real chicken.
Sometimes teary eyes and itching can be environmental, esp. if swimming in waterways, or even windy days (often seasonal).
I think more and more places are now supplying for a growing number of customers that own pets. I still would love to have the variety you mention and can only hope in time more becomes available. I would hate it if my dog was allergic to chicken because I love feeding it and know it is the type of animal she should be eating and would be eating in the wild, also the excellent supply of glucosamine etc.. for healthy bones and joints. Lately for the small portion of her diet that requires a muscle meat I have been giving beef cheek which is much cheaper than the normal cuts of beef/chicken.
What do you mean that Sam is stinky?? Is it an off smell? Canned sardines are also a good small addition to meals intermittently. his skin shouldn't be dry if he's getting loads of fresh chicken bones. I would definitely be looking into the "smelly" skin. Others may have some suggestions as that is something I would want to know the cause (LOL unless of course they have been rolling in horse manure).