Have you done the placement chart?
http://www.heartofdakota.com/placing-your-child.php
From the description that you give of your dc, I think you would fit well in LHFHG. You may want to choose some 1st grade options (handwriting, fine motor skills). It sounds as if she is still learning phonics. Counting and knowing her numbers sounds like a great preparation to start Singapore Earlybird Kindergarten 2a. The science and history are fun and has hands on learning as well. The history texts are actually 1st and 2nd grade texts from CLP. The storytime is great with the Thornton Burgess books. Developing the ability to sit and listen to chapter books with few pictures really lays the ground for the later HOD guides.
BHFHG is really for a 2nd-3rd grader or even a 4th-5th grader with extensions. I'm doing BHFHG with my 8 almost 9 dd who is advanced for her age and it is challenging to expose her to the beginnings of independent work, narrating, notebooking, geography, and the read-alouds definitely are stimulating to her. There is a lot of writing and a need to be able to comprehend a lot of reading (both read aloud and independently). I'm thinking maybe you meant Beyond Little Hearts for his Glory. It is the one after LHFHG. I really think some of the skills acquired in LHFHG would help prepare any kindergartener for the steady advancement in the next level.
My dd8 was an early reader. She could read at 3 and tested 3rd grade level reading at 5. However, she still needed to develop the other skills needed for the higher grade levels in math, history, science... Listening for longer periods of time, maturity, math skills. While she could read and understand all the words in a 2nd-3rd grade math, science, or history. She couldn't really do the work of a 2nd or 3rd grader. I would encourage your dc's early reading skills and make sure to keep her reading level on target.
Even in BLHFHG, the emerging readers the dc reads about 10-15 pages aloud a day and finishes a 50-60 page book in a week. I would look at Frog and Toad and see if my child could read 10 pages a day until finished and recall what she had read. This is one of the emerging readers in the list. The emerging readers are meant to be read smoothly, fluently, and without needing too much help from the parent. The child is supposed to have finished phonics study when starting them. They start at reading level 1.8 and go to 3.8 before you are through with the emerging readers.
If it were me and it were my early reader and avid learner (dd8) and we had been doing homeschool when she was 5 and in kindergarten, I would choose LHFHG. Some of this is hindsight b/c I pushed her b/c I thought her quick reading (with no instruction-she just started reading and skipped phonics altogether) and ability to read so well meant she understood all of what she was reading and I realize now that she didn't learn to comprehend all of what she was reading. We are backtracking to pick up these skills late in the game.
Have you downloaded the sample week of the guides as well as the introduction? Each one has a sample week. I encourage you to download LHFHG and read it and go over it as well as BLHFHG to see the difference in the expectations from the dc. The introduction will really help you to see the scope and sequence of the learning.
Welcome and I can't wait to hear more about your dc and see where you think she fits on the placement chart.
Val