Ooh Crystal, I've got to admit that "bored' and "hate" are hard words for any author to hear!
While I certainly know that no curriculum is going to be wonderful for all families, I'm wondering about a few things in your post that may make a difference in how your daughter perceives LHFHG. From being a school teacher for 11 years prior to teaching my own kiddos at home for the last 9 years, I see some definite red flags in your post, whether you're using LHFHG or any other curriculum.

So, I'm going to address these concerns in all love, knowing that it may help someday down the road.
When you're saying that your daughter doesn't do the dramatic play, does that mean she "won't" do it or that you are choosing not to have her do it because of her reaction to it? Either way, at our house if it's my school plan for the day our kiddos know they do it, unless I choose to skip it for time reasons. Otherwise, my kiddos would think that they can get out of things by their mere reaction to something.
Also, when you're saying that after the first two Burgess books she was "done" with that series, does that mean that you allowed her to tell you that she was done with them or did you choose to stop them because of her reaction to them? The Burgess books require a more seasoned listener and are paired with follow-up activities that teach beginning narration, higher level thinking, and encourage better listening skills. Often for school books, we will use books the kiddos would be less likely to read on their own, but that have a higher level of listening required. This is very CM in its philosophy.
If she "hates" the rhymes, does that mean that you're allowing her to show you that she hates them by refusing to do them, or acting up during the rhyme? If something we're doing is not my kiddo's favorite, we still require them to do it well rather than rewarding a poor reaction by omitting it in the future.
Another concern is that she's acting bored. Whether or not that's due to LHFHG that is not a good trait to allow to take root. Attentiveness is a habit we work hard to develop no matter what the activity.
So, while LHFHG may not be her favorite (or yours for that matter... and that's o.k.

), I think there may be some other issues going on that won't automatically be solved by moving to a different level or to a different curriculum.
It's important that your daughter know that you're in the driver's seat as far as her school day goes and that a certain level of participation and enthusiasm is expected no matter whether she loves something or not. This transfers to us as the teacher as well! If I'm not enthusiastic or interested, I can hardly expect my kiddos to be.
Only you can know whether I'm completely off-base here or not, and if I am I sincerely apologize. I do realize that not all parts of a curriculum will be loved by all and I do realize my own limitations as an author. I just encourage you to search your heart to see if any of what I said may be contributing to your problems with LHFHG.
From what you've shared in your post, I do think that your daughter is probably ready skill-wise to do Beyond Little Hearts..., but I'd check the placement chart to be sure.
Blessings,
Carrie