Maybe it would help to know the name of the finish color... at least I think it would be a good starting point.

Sorry! the finish is brushed nickel, but what I'm really looking for is the style. Specifically, square tube with the ends extending beyond the part of the pull that attaches it to the drawer front. I've spent hours looking for something to no avail. Ideally, I'd like a tiny version of the towel bar. Hopefully someone else has seen something in their own search.
I'm thankful for any help someone can offer.

In general I am opposed to this type of pull because it is too easy for your pants pocket to get caught on the extended part of the pull and then rip your trousers. If you or your partner wear expensive suits, don't do it.
That being said, here are a few. They all say multiple finishes. If you do a search on 'mission' or 'craftsman' 'bar pull' you will find more
schaube chemin fer {{!gwi}}From GW Photos

fusion sonoma
{{!gwi}}From GW Photos

atlas craftsman
{{!gwi}}From GW Photos