Welcome, welcome, welcome!
There is an old saying (predates girls in ScoutsBSA program): The boy chooses the Troop.
I'm very sorry to hear your DE wasn't able to help.
My first impulse is to agree with qwazse - use the Pack funds for the benefit of the Pack (B&G, summer camp) and then be on your way. If the cubs are still part of the Pack, then using the $$ to help those children progress in the Scouting program is appropriate.
The CO is within their right to dismiss leaders and appoint new ones; however, until the paperwork is filed with the Council, I don't think it counts as "official."
At the end of the day, it's like leaving a bad relationship. If you don't want the other party to have reason to come after you/harass you, you have to leave the couch and the lamps, and the silverware and start over. It stinks, and it hurts, and it's unfair, and it's hard not to be bitter, but it's also the example you are giving your children. (By following the rules, even when you don't want to, you teach them how to be morally straight.)
Best of luck to you and the rest of the Pack. (And be sure to keep us updated.)