Due to popularity, new or even usable 3" S&W barrels are going to be tough to find.
In all likelihood you WON'T find a 3" Model 66 or 19 barrel at all.
Not many guns were made, and spare barrels were even fewer.
If you can find a barrel, you then have the problem of knowing whether it's usable.
Many of the barrels sold on the internet and at gun shows are defective in some way, and you can't always detect the problem until installation is attempted.
Last, barrels are NOT "drop-in" parts.
Installation requires some expensive tooling, including a lathe, a special frame wrench and a special cutter tool that works down the bore.
Getting a barrel on with the front sight aligned is not the end of the job, it's just the start.
Finding a good revolversmith who knows his stuff and can properly install a barrel is also hard to do.
For 3" Model 13 barrels, you can at least try Gun Parts Corporation and Jack First.