Thank you Terry. I seem to recall that a 2" line could be up to 6' from the vent, which is just how far away the lav drain will be, but that's evidently my faulty memory at work. But even if it were permissible, there's no real reason not to do it so that what I was planning.
And, BTW, this is a great site and you're providing a valuable service. It's appreciated.