Any Dwarf inn. I would pick the Kharanos inn if I had to pick one.
I spent a lot of time in Thelsamar and actually had my hearthstone set there for a year, because I was on my old, shitty PC back in those days and had to avoid major cities. 256MB of RAM, a 1GHz P3, and onboard graphics running Windows XP and playing WoW. It's a wonder that even fucking worked at all.