There are actually not all that many states that issue non-resident permits. I know there is one out west closer to you... is it Oregon or Utah? The Florida permit is very popular because it's relatively easy to get and it's valid in a lot of places. But for sure, that website gives you a lot of information.
Permits and reciprocity are funny things. My bro in law is a Michigan resident as has the Michigan CCW. I am an Ohio resident with the Ohio CHL. Either of us can carry in the other's state. But his MI CCW allows him to carry in a lot of states that don't recognize my Ohio CHL. With my Florida added, I can carry every where that he can, and I think one more state. If he added the Florida to go along with his MI CCW, he would only add like one state (currently.) So it's not worth it for him, but quite important for me.
The Florida non-resident is a very necessary thing for me. It adds PA for me and also adds many south eastern states that I travel to/through every single year on my motorcycle trips.
I have no idea about your state, but check you state laws with regards to where you MUST apply for your carry permit. In Ohio, you can apply at the Sheriff of your county
or any contiguous county. If it's that way for you, then it won't matter if your local Sheriff is a tool, you might be able to try another one.
These improvements in concealed carry laws have been sweeping the nation since about the year 2000. There are now 47 states that issue some form of permit. Vermont doesn't issue one because concealed carry is legal with no permit in Vermont. (that makes it sticky for Vermont citizens who wish to carry out of state because there is no reciprocity for a state with no license!) There are two states where there is no ability for citizens to legally carry concealed-- Wisconsin and Illinois. And some states are very restrictive with regards to permits, but they still have some form of them.
The best states are called "Shall Issue" and that means that you needn't produce any reason to want to carry, rather they need a lawful reason to deny you a permit. The website should tell you which state are "Shall Issue." If you live in a shall issue state and your Sheriff won't give you a permit but you have no record or other issues, you should take that up with a higher court and/or a lawyer.
Don't let the poor timing discourage you from the pursuit of this permit. It's important for you and the simple fact is-- it's important for ME! If you exercise your right, that benefits myself and others like me. More Americans standing up to be counted. Another law-abiding citizen adding to a good statistic... an upstanding, law abiding person who elects to gain the permit to carry. If every decent shoot and gun owner did this (even if they decided that they didn't wish to carry on their person) it would add to the collective data. More folks exercising their rights... a larger voice.
Stick with it!