You also have the ISP account. You just haven't included it in the accounts in Mail. As I said earlier, some ISPs won't let you use other SMTP servers, they force you to use theirs, at least from Mail. They may say it's to prevent you from SPAMming and ruining their reputation... no matter how bad that may already be.
My first thought, was that the plist was corrupt. But you say you've deleted it. Was Mail running when you did that?
If you don't know, try it again,
after Quitting Mail. You don't really have to delete it or even move it to the trash; all you really have to do is change its name, add something like "flakey" to its name.
I have also not heard if you've tried using Mail as a different user. You should have at least one additional, maybe very seldom used, user set up just for testing purposes like this. If an app works when you're signed in as that secondary user, then you know the problem is not with the app. But it could be one of it's maybe hundreds of supplementary files, most notably the plist, that are bad.
Additionally, please do only one thing at a time and report back what you did and what happened. Doing several things at once, without reporting the exact order, just makes it confusing for everyone. Please read one post, with suggestions, at a time. If there are several steps, repost back before proceeding to the next one. Finish those suggestions before going to the next post, unless we can see that those steps are a dead end.
You
can do this!
Many of us have done it before, sometimes more than once. Sometimes there is just one step that keeps getting missed. I've yet to see "magic" fix anything, however.
I set up another user in my late husband's name some time ago. If that is what you are talking about it sounds promising if I have the password recorded. Otherwise, I believe I can manage to set up another one.
I could set up email with Time Warner but so far hadn't needed or wanted it. This crazy email app is just that. I have received an email in Yahoo today where it wasn't doing anything yesterday. At least it didn't freeze, it just asked for the password and didn't like it. I clicked to send a message with me.com and freeze.
Ok, I'll get back to you and let you know what I accomplish.