I'm not sure I would call Balaam a "false prophet", although a practitioner of divination he certainly was. I know, that requires explaining. I'm hesitant to use false prophet because he accurately spoke for God; that's what a prophet does. More on divination in a moment.
He was "not intending to curse" because he never intended to curse; his first and only intent was to go to God.
The practice of divination is connected here, but I'll let other's more skilled do the explaining.
From 2 Pet. 2:15 go to Jud. 1:11.
Now if I recall correctly you are familiar with the Primitive Baptist, and if you are familiar with the PB's you are familiar with the work of John Gill. If you go to his commentary on Jude 1:11 first, then to his commentary on 2 Pet. 2:15 I think you will understand Balaam's problem with his practice of divination and Peter's reference to his "love of the wages of unrighteousness"
I have noted that you have not mentioned Balaam's confession of sin (Num 22:34) and the context of that confession. That is quite understandable, given your current convictions, and I am not asking you to comment at this time. However, if the Spirit moves you to pray and study on it, and that prayer and study produces any adjustment, I would appreciate hearing about it. I understand that could be a long time.
Hummer,you were right! I owe you an apology my brother. What was I thinking?
I was going on memory alone and didn't read the entire account before I made my comments,and somehow I got my facts mixed up.I'm truly sorry for the trouble I put you through today,but I appreciate your patience with me.I learned some things today and I am very grateful but also humbled. PM sent.