I'd rather try a detergent that has minimal residue...running warm water on the LP, then applying the detergent by putting it on my bare wet hand, and rubbing in circular movements onto both sides, wash your hands before you start if you want. Maybe a detergent that is non allergenic, because they would probably leave less residue. then rinse using the same technique with warm water and just the inside of your hand. The pressure of your hand should get the soap into the grooves. Just stick it on the dishrack. Maybe try a stabilizer wash, like used in photography, which eliminates streaking on negatives. Or learn to humm.