Wood vent install on cabinet low to floor

I have a cold air return that is built into the side of a cabinet. I also have a cold air vent under a toe kick with the same issue. (Please note, I'll be cutting/staining new cove and corner trim.)

As with these sorts of things, I'm not sure what wold look best. My inclination is to:

Install the vent so it touches the floor - cut the bottom edge 1/4" so that it sits flush at the bottom and stop the trim on either side, coping the trim a little bit so it covers up the gap between the flooring and kitchen island. Because I'd be cutting the vent, this means the top of the vent would be taller than the bottom of the vent.

I could stack the vent right on top of the trim, but this would create a little crevice for dust to collect, and I feel like it would look less professional.

Thoughts? Any other solutions? I don't think I can match the radius on the vent - otherwise I'd consider cutting the top of the vent and round it with my router.

 

I think it's more of a crevice for dust when you stop the shoe on either side. I'd sit it on top.