There's a summary map of restrictions here:
http://cwd-info.org/wp-content/uploads/2018/01/USSummaryCarcassRestrictions.pdf
There's also a detailed list of restrictions by state here:
http://cwd-info.org/wp-content/uploads/2017/08/CWDRegstableState-Province.pdf
For example, I am hunting in New Mexico so when I bring a deer back home to Wisconsin, I'll be traveling through:
- New Mexico - No statewide restriction and my area is not a CWD area
- Texas - Import rules apply to entire source state, not just affected regions - However, they do allow bringing heads to a taxidermist. You need a waiver form filled out. However, it doesn't mention anything about traveling
through the state. Also, you have 7 days to take it to a taxidermist in Texas, if you're using one there. So with that, if you're traveling through, it isn't even clear that this form applies. Probably better to have it just in case.
- Oklahoma - No restrictions
- Kansas - No restrictions
- Missouri - No importing high risk parts. However, they allow bringing in heads: "Carcasses or parts of carcasses with the spinal column or head attached my be transported into the state only if they are reported to an agent of the department within twenty-four (24) hours of entering the state and then taken to a license meat processor or taxidermist within seventy-two (72) hours of entry." So once again, if you're not staying there, this doesn't apply.
- Iowa - Import restrictions for specific CWD zones, not entire state. My unit is not a CWD unit so doesn't apply to me but if you did have a deer from a CWD unit, they don't even seem to have a temporary limit for bringing a head to a taxidermist. I highly doubt that's enforceable as anyone living in Iowa would not be allowed to bring a deer to a local taxidermist... But I'm not a lawyer.
- Wisconsin - Import restrictions for entire state but you can bring in a head to a taxidermist as long as you do so within 72 hours of entering the state.