I did that for a little while after I'd discovered a bidet but didn't have my own. But this one [1] is only about $25 and is really worth it. And I bring this [2] with me when I go out.
Hope no one uses that sink beside you. A "Biffy" toilet attachment is very convenient to install, inexpensive, and potentially a lot more considerate to others.
Sink is easy to clean. Nothing is left behind. I don't see this problem. It is like bidet, but taller. I first clean my ass, then the sink and finally my hands.