My gran tied all of her quilts, and when she was teaching me she said you had to draw a mental circle around each tie, and make sure there was another tie at least within the edge of the circle in all 4 directions. The mental circle for the batting she always used was only 6", but it varies with batting type. (And I have been using my gran's quilts for YEARS and they're all still holding together just fine, even the ones where I picked out some of the ties as a child. So I trust her rules!)
So if your batting allows 10", according to my gran's rule, you'd have a tie every 10 inches in a grid across the quilt. I would consider that the minimum requirement. Sewing vertical lines every 10 inches across a quilt would be MORE than that, so I think you're set.
I've quilted quilts with W&N where I left long 8" strips unquilted down the length of the quilt and so far it's held up beautifully.