All these questions and no way to answer them...it all will have to be hashed out in a court of law, because that is how these things are settled.
A fella with a CHP was arrested some time back for a very low BAC and a concealed handgun in his car at a rental unit doing some cleanup (IIRC) Don't know how that one turned out.
But really, if you find the CHP requirements to restrictive, you could forgo the permit and choose to carry under statute 28-1202 (quoted in another post above) and take your chances with the jury.. You know you will be prosecuted , but you may have an affirmative defense the judge will find reasonable...though having been drinking might make that bit tougher to sell
As for the home invasion scenario, that situation would not be a concealed carry situation. Even if you kept the handgun concealed from view, it is not a concealed weapon inside your home, or every gun you own and store in your home not in plain sight would be a concealed weapon, and that would be ludicrous!
I am not a lawyer, and I don't drink alcohol, ever, so maybe my view is not worth considering