Don't know much about MN. Most of the rest are pretty gun-unfriendly except PA. Ohio isn't as bad as IL, WI and NY. These are political views - not legal advice. Go to the NRA-ILA.org page and look at each state's laws. The problem as I see it is that your trip ends in NY, which is one of the worst so I'm not sure how much FOPA would help. Common sense would say that unloaded and locked in a case should be ok anywhere but common sense was lost in this republic long ago.
Avidshooter (Texas)
"The real destroyer of the liberties of the people is he who spreads among them bounties, donations and benefits." -- Plutarch