There's been a few families of your size and even much larger that have done this. Whatever the mind can conceive etc ...... = if you want this go for it, don't let anyone stand in your way with their beliefs or say "you can't". The best memories of our lives have been our RVing years with our children (never FT till now but extended time trips), we've covered 44 states including Alaska and Hawaii, most provinces and territories in Canada and have priceless memories with our children growing up whilst doing it. Our focus besides national and state parks, was anything water based activity wise = fishing, swimming, snorkelling, diving, white water rafting, kayaking etc. Unbelievable recounts of various trips occur over our dining tables several times a week.
There was another family I recall hearing about called the Kellogg Family. Check out Kelloggshow.com and google them for tons of stories and videos on this family of 14 on the road.
Good luck and enjoy, these years with your children creating many memories can never be replaced.
FTW.