"I'll tell you my second-favorite place, how about that?" His first-favorite place is, of course, the Orb of Unearthly Delights. The Orb is, admittedly, probably the favorite place of about a third of the Nexus, a paradise of enthusiastically consensual sensual experiences - and a place that Beth would be welcomed to, given the Betans' liberality about what constitutes adulthood. For Byerly's part...Well. He has a Barrayaran sense of the line between childhood and adulthood - it was set at twentyish as soon as he reached his majority and has been creeping higher and higher every year as he gets older - and this girl isn't there yet. So, no, he's not going to encourage her to go to the Orb.

"The Spacefaring Museum on Beta Colony. I know that probably sounds dreadfully dull, a museum for heaven's sake, but it's actually quite fascinating. Tracing the development of the technologies through the centuries. If you can endure something educational, that's the place to spend your time." He considers, then allows, "That or Crater Lakes on Escobar."