I remember taking my 5.5 year old out of full time school 1 day per week. We chose Wednesdays to break up the week. Unfortunately the school then blamed EVERYTHING that went even slightly pear-shaped on the fact that my daughter wasn't at school full time. Apparently missing 1 day a week threw everything into chaos!!! So beware for some opposition.

What might work for you is for you or a tutor to go to school during school hours for 1:1 work. By the time you add in a music lesson and perhaps a language lesson, much of the day has gone!!
Would this be an option open to you?

jojo