All the LM2596 preassembled that I have bought use a 10K pot, I have replaced these with a 10k, 5k, or 3k and all work. I have not tried replacing the R as it is tiny and I don't have the eyesight or talent to do it.
So without the resistor, are you having a problem with top end voltage? I'll give her a shot with a 5K Bourne thumbwheel when my boards finally get here. Thanks you rock.
Not positive; but I think it was mentioned that a 5KΩ pot will give a more usable range.
Sorry, I may have missed it. All the talk of sexy post women may have gotten me flustered.