Yeah, these are annoying!
The main thing I've changed that helps with that, is I've started putting the example sentence on the front of the card.

I like it for a few reasons. The point at hand - disambiguation. A lot of times in context, it's obvious which answer I should remember. But also, then I read the example sentences more often. When they're on the back, I tend to skip over them if I'm powering through several reviews. In the case of Japanese, this also gives me an opportunity to try and read the whole sentence w/o furigana.
Downside is that the example sentence can make it too obvious. This is actually totally fine IMO. The whole point of the Anki card is to prepare you to actually use language. If the word is clear in context, great, that's the whole point. It's also not too hard to ignore the sentence if you are in that mood.
But then, sometimes I still mess up similar words even in context. Rather than let it leech, I add a caution note.

Edit: re-reading, I realized that my mind went to a slightly different kind of disambiguation. Still, I think the answers apply all the same.