The only way to do it right is to pop those ten tiles and just redo it. I say this based on 19 years' experience. You won't regret it in the end. The thing about going over the tile with a wood or ceramic molding is that there is no give, and the tiles are not sitting even. The molding will sit on the highest tile and you will have gaps (blacklining) in the lower one.
Yes, you can caulk it but then you are creating a lip, and I promise you something will catch/hook/snag someday; you'll regret it's there.
I recommend you pop the tiles, clean it up, and ready them to install. Get out your tape and level and set the schluter first. Use adhesive (mastic I assume), double-sided tape, or -- in a pinch -- nails with very flat heads to secure the schluter. Cut the tile into the schluter.
Dry set the tile first. just to make sure they are cut properly, then back butter the tile -- avoiding a mess if you have to re-cut. If you are a little tight just use a file, sanding paper, or even a concrete step to take off a 16th. Alternatively, you can chalk a line or use a straight edge to mark where the tile should end. Don't worry about the schluter until you are done with the tiles. Just concentrate on hitting the line. When you are setting the tile, make sure there is a little extra glue on the edge of the tile where your end point (line) is. Now when your tile is finished slip the schluter underneath the tile. Press firmly on the tile (grout floats are great way to apply even pressure), wiping away access adhesive until the tile are flush with the schluter.
Or a quick method. Now I've done this and have found its better to take the extra time, unless you have a real steady hand. You can mark a straight line and use an angle grinder to cut a straight line and install a border tile. That way it is at least flush with the rest. **If you mist the tile and the angle grinder wheel you will cut down on friction and dust.