Used the
seat in the hotel in the morning

and I was fine for the day that way. I usually saw at least one western style cubicle everywhere I went.
Don't forget that old traveller's standby Mc Donalds. ^
As others have said take paper with you at all times.
One thing I did notice was that many toilets had automatic taps so no need to touch the handle.
I am talking from a man's perspective here so you may need to specifically ask re women's facilities if you have that requirement.