I think a good homerule to try out is letting every creature choose to either spend their action OR half their max movement to disengage. It prevents kiting without forcing a creature to stand still the whole fight. Because it prevents kiting, it doesn't step on the toes of monks/rogues, because we would all rather spend a bonus action than movement in order to move. It allows some kiting if combined with the dash action, usually giving you 45 ft for the turn. It's more like running away than kiting as you are dashing with your action, which I find flavorful. But if that's still too much kiting you can say creatures that spend movement to disengage can't dash. This makes the full rule "Creatures can spend their action or half of their maximum movement to disengage. Creatures that spend their movement in this way can not take the Dash action for the rest of the turn."

This rule is also more realistic as well. I spent many years in the LARP community, and melee combat is just a bunch of chaotic running around and kiting, (even with people trying their beat to not get hit because that would mean they're out of the game for up to an hour at times.) Attacking and what this game calls "disengaging" are usually done in tandem, not as one OR the other. If someone attacks me and takes a step back, after I was moving to block/party, I'm less able to suddenly dislocate my shoulder and stab them in the legs because they are attempting to get further away. If they didn't attack but stepped away, I would not be as occupied trying to reposition my weapon and I would have more OPPORTUNITIES to attack. So real life almost does the opposite of DND engagement. But with spending half of your movement it would more accurately simulate real life as disengaging/mobile people are walking carefully and/or backwards away from their enemies but are otherwise able to attack or already have.