1) You are not going to find the perfect TB team for your DD in her very first year playing TB. Once you get around TB and see how it works, you'll make a better decision. In other words: You will make a mistake in team selection. Everyone does.
2) If you are trying to develop your DD, then she has to play TB. At her age, you could wait another year before you "get serious". But, you have to understand that your DD is not progressing playing rec ball.
3) Except in SoCal, rec ball is not close to TB. It is very, very doubtful your rec team can be competitive at a TB tournament unless you played a very low level TB tournament. An A-level TB team would crush your rec team. So, you will probably get embarrassed playing a TB tournament.
An addendum to my first reply here is that she is seeing a pitching coach and hitting coach weekly. Keeping that going for a year and playing req at the higher age level may be the way to get another year with her LL team. Problem is that she needs more competitive at bats to really see results from her hitting and needs more mound time to see results from pitching.../facepalm