Looking at Dubrovnik. Mainly because its the only place Ive heard of.
How much is the pint?
With Dubrovnik most people mean the Old Town. That's the walled in medieval place/harbour that was under siege for a time in 1991/2. It's surrounded by steep wooded mountains and overlooked by a Napoleonic era fort, topped by a telecoms mast. That was used by the defenders during the siege and the ITN news footage of the shelling around the mountains and the Old Town itself - I well remember.
The Old Town is busy with some days multiple massive cruise liners dumping several thousand extra people into it. You can check on the port authority website for arrivals.
You might be better looking at staying in Lapad. Dubrovnik is a very odd narrow slice of land cut off from the rest of Croatia, with the Old Town at one end - Lapad is the other end of the slice and will be cheaper and a lot less busy, in a good way. You can get a bus into the Old Town direct and takes about 10 minutes. There are loads of buses.
As you can tell, I do like Croatia. To answer your question...
Big cafe/bar on the harbour...