Turning off the grid is definitely the way to go, at least for 40k. Facing works fine then.
I think the big problem is limiting movement. The measuring tool is fine, but you can't actually use it to move stuff, nor can you have it stay in place while moving (at least I don't think you can?).
I thought the aura circles could be a solution, but I just had another look and those have 2 major problems:
1) They scale with the size of the token. This might actually be a good thing, but does require very strict token sizing.
2) They move with the token immediately when dragging, so you can't move to the edge of it.
I'm hoping the pathing upgrade in Rugged Reroll can do this (very curious to see a non-grid based demo!). If not, I guess a template token could be made for it, but it'd probably be impractical.