Well from what I know it is better to consume water constantly throughout the day rather than in spurts...Ive heard it related to dry dirt (your body) and how it doesnt absorb water as well when deprived...
Im not sure this applys to you though as your not depriving your body of water...Ill have to check if this theory is only relevant to hydration since youre more concerned about liver/kidney function...I personaly dont see why your way wouldnt do for you what youre looking for, although you should try and carry water with you all the time...Inever leave home without it..