At a guess, most members of the forum who are most knowledgable about US online vendors (and regularly buy from them), are themselves based here in the US.
So our own actual experience with say, Smoking Pipes, may not be much help to you. This said, Smoking Pipes does clearly state its international shipping policies (listing countries that they will NOT ship to), and Jordan is fine. Some others that are popular here, like Mars Cigars, for example, don't ship outside the US at all. But if I had not now gone to their website to check, I wouldn't know.
Some vendors are much better with answering emails than others (with all that this implies), even at the best of times. And generally in the US this is not the best of times.
Best of luck, and hopefully some overseas regulars will chime in.