I was thinking yesterday that as a first pass I will try taking some extra nosing that I have and see if I can make a transition out of that. The side which has the groove I will notch out (or put in a rabbet) to fit over the edge of the tile. I will reduce the thickness of the entire piece so the rest can sit on the wood floor. I might need to make a brace that runs in the middle so the middle, in the gap between the two floors can rest on the subfloor.

Here it is. I included a piece of the nosing I have in the right corner just to show it.
https://www.youtube.com/watch?v=G07UxfH ... e=youtu.be

Can't quite figure the profile of the nosing piece. In order to leave an expansion gap how wide will the last piece of flooring be?

I certainly don't have to use it... but seemed like an option worth checking out.

Height on step 0.705"
Height of nose 0.805"
Width 3.125"

We are in NH.

I have a standard table saw. I purchased a finish blade for this work.

I have a hand held router with a few bits. I don't have a router table / tracks.

Would it be possible to post a sketch of how you envision the flooring piece being cut?

I appreciate all this help by the way.

What is the distance from wall to wall i.e. how long would the transition piece be?
My Sketchup skills are rusty. I can post some pictures of transitions that show the edge 'ramp' bevel that I mentioned. The bottom of the transition would have a rabbet. I live in MA....10 miles south of Boston.....maybe meet half way and take one of the boards and mill it for you?

Sorry for the delay. I got a small injury a week or so ago so the work has been put on hold. I hope to get back to it in a week or two.