I think it sounds like your oldest would fit well in CTC. We just finished CTC and loved it. My teaching time was around an hour to an hour and a half. I did the read-alouds and their accompanying follow-up discussions each day for Storytime, as well as the reading/discussion time for the Bible Study box. My other instruction focused on math, grammar, DITHOR, and Write with the Best. My ds was responsible for the rest. It was a great balance.
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I think your dd should be fine with that amount of attention and would thrive with her independent parts because they are fun!
From what you've shared, I think you could combine your 5 and 7 yo in LHFHG. This is an easy program to teach and would give your little ones the attention they need at that age.
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We did CTC, Beyond, and LHTH last year and were finishing by lunch time, so it is not hard to do.
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As dc get older, their independence increases and our teaching time decreases, while the younger dc have less independent time and more teaching time with us. It is the perfect balance which makes it easy to do several programs. Your 7 yo and 10 yo are like my 2 oldest - 3 years apart in age, but many more years apart in ability. This is pretty common actually, as our first child can tend to be our focus. HOD has helped me balance my focus among all of my dc as they grow, and I'm so thankful for that. We have 3 dc happy to be homeschooled with HOD. It is a blessing for us, and I think it would be for you too.
In Christ,
Julie