I dont think there is any way to completely fill a tire with liquid. Once it goes over the valve stem, then it just pressurizing the remaining air. At max of 20 psi, you could fill it above the rim but not much before the pressure maxed out. Then any reduction would just drain off the liquid. You are always going to have some air space in them. I suppose you could put some sort of bent straw or tube thru the valve stem and point it at the top of the tire to remove the trapped air, but that would be extraordinary measure taken to do something wrong which I dont see happening.
I just checked my rear tires on the LS from Factory filled and they had 15 psi on 16.9 tires. They were setting up so high that the outside 2-3 inches of tread wasnt touching the ground. I reduced it to 12 psi which I think is still a bit high when looking at tread foot print. I didnt bother to check the fronts as they do squat a bit with a full FEL bucket of material. I will leave them as is as I dont want to take a chance of rolling one off the rim. I do run the max (25) in the fronts on my Yanmar