There are a few fixes. An overlay door/drawer front only needs a small amount of overlay, even ¼" will do. You could reduce the 4" FF, since it's not necessary to have one that wide. You don't have a FF on the left. So making the FF smaller will give you more room.
You don't need to overlay the FF to the right of the trash door as much, so, that will add to the room you have picked up. Or, just allow enough FF to the right of the trash to have the bottom edge of the door to clear the trim.
Another possibility would be to increase the height of the toe kick to have the bottom edge of the trash door above the trim. Toe kicks aren't standard, but mostly are generalized in height to line up with appliances, which 4" seems to be the popular height.
For the actual pull out, I suggest you make your own by making a drawer box to fit a standard plastic trash receptacle. The one below utilizes a standard trash receptacle with a lid, and the drawer slide is just a standard full extension 100 LB. This setup will be at least half as much as buying a pull out assembly. This one has operated flawlessly over 40,000 times. Just a tip about face frames and drawer slides, that it would install more easily if the faceframe was flush with the cabinet walls, so the slides will mount. If the FF protrudes, a filler spacer is needed to bring the cabinet member flush to the edge of the FF.