I don't like to waste the water either for the rinsing out of cans and bottles. Most times I don't waste it. Dish water works at the end of washing and then I squirt each with either Vinegar-water mix or Windex. Kills the germs, cuts the scent/smell they might create while waiting a week in the bin in the garage, before the weeks pick-up comes. This also helps cut the scents that attracts mice and insects (Ants! and bees) into the garage, and the raccoons that might be attracted to the bin sitting on the driveway waiting for the pick-up. (summer time is the worse except mice in the winter, which I've had no problems with since doing the Windex or vinegar spray trick, on cans and bottles)
Our pick-ups are early in the mornings, I try to get it out of the garage right before they come, because the raccoons do a number on the neighbors trash.
It ends up all over the place and torn bags, (we aren't allowed Trash Cans!
only bags!), if it's put out the night before or way too early before the sun comes up
Give the Vinegar or Windex spray a try, it helps alot
Tia Dalma