@irontoenail - I guess I just don't pay that much attention to either alliteration or consonance unless I'm doing an analysis for school or something like that. When I'm writing or reading poetry, some things just sound good and some things don't. Some things are easy to say and roll off the tongue and others are not and that can be used as a technique as well.
I worried a little bit about this kind of thing, but I eventually realized that I was basically putting consonance in my poetry without trying, just by rearranging words until they sounded right. Which is the best way to do it, in my opinion. Don't worry about what a critique might say. Just worry about making it sound right to your own ears.