I've been thinking about this issue a bit, and my thinking has evolved a little bit.
The fact that you are unlikely to be prosecuted for trespass unless you are verbally asked to leave and refuse, does not negate the underlying definition of trespass: being where you are not invited or otherwise licensed to be, for whatever reason.
If I say you are not welcome on mygolf coursewithout a collared shirt, not welcome in my club with jeans and running shoes, the fact is that you are specifically uninvited, from any moral point of view. The police and courts will not likely take a part unless the situation is escalated by a refusal to leave when you are asked, but that doesn't really make it right.
If you're good with morally grey areas like ignoring the conditions imposed on access to private property, even that private property which is open to the public during specific times and under specific conditions, then concealed carry is unlikely to cause anyone any hassle.
But you can't really dress it up as being your right, or in any way "right".
If you don't like their policies, then don't patronize them. By all means, let them know why you won't patronize them, as well.
Public property is different, because we each have a legitimate stake in how that is run.