It might help to show the adjacent foyer and hall areas you are willing to adjust.

What you have right now seems good.

I don't know if your mudroom includes your laundry.

Do you really need a shower and or tub in this location?

You could exchange the mudroom with the bathroom and reverse the layout so that the exposed wall would be across from the toilet and vanity.

Do a completly glass shower like a steam shower enclosure to make sure nothing gets in behind the glassor move the whole enclosure awau from the log wall far enough to celan behind it . I think that would look awesome/

Thank you! We were wondering if we could do a glass enclosure somehow.

The proper solution may fall outside the area of the house you provided. I suggest looking at the entire house while finding a solution.