I have open carried on my motorcycle several times. I am left handed, so when I pull up to do the transaction to get into the recreational area, I am showing strong side.
I did that accross the Dam before the parks opened up to state firearm laws, as hwy 95 was not part of the Rec area just do not go off the hwy.
as far as carry in the parks without a ccw, i would not, other than accross the Dam.
It seems the federal law rides on allowable carry in the State parks, our state parks require a CCW. This does not mean that you cannot open carry, it just means that you cannot carry in the park without a CCW. This has been addressed in previous threads that are titled "open carry in national parks" etc. All of the Cites backing my statements are on those threads.