Best place to stay
You posted under Trip Reports. Is this your trip report or a question? If a question, please tell us when, for how many nights and budget.
October 19 - 22nd (give or take a day or 2)
Not sure as to rates during that time. Only 2 travelers and would require a comfortable room with a private bathroom
job1156 - I haven't been there, but you may get more replies under the Italy section: https://community.ricksteves.com/travel-forum/italy
Hope your trip goes well.
I’ve only traveled through Trieste for a day trip from Venice to Lipica Slovenia and back. Sorry I can’t help you with lodging. With your added dates, hopefully someone can.
Have you researched on Booking.com?