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Upon receiving this question today, I looked up the federal code of regulations (CFR). I have amended the post from yesterday. Upon reviewing the actual laws, I discovered that neither the federal or state laws restrict the hunting of crows over bait. I have posted the federal and state laws/ administrative codes below. In general, the federal statute establishes the guidelines in which the state can set the regulations for the taking of crows (50 CFR 20.133) The state has developed two administrative codes that establish the season for taking crows as well as a code for taking crows that are causing depredation, being a nuisance, or being a risk to human health.
As you can see below, the federal law established the regulations to cover migratory game birds and crows. It has set crows apart from everything else. Any regulation that applies to the taking of crows will most likely not pertain to any other migratory game bird and vice versa.