Simsbury, obviously it's not as well suited for the DA primes because it doesn't have any aperture controls and those lenses don't have aperture rings.
You're better off with older style lenses that have long throws (so you can focus manually precisely) and aperture rings.
I have a cheap Fotodiox adaper but also an expensive Novoflex one that does have an aperture control. You use a bit of guesswork to remember what setting you're on, because it rotates without markings and there's no indication on body, adapter or lens as to which aperture you're actually on, but you can see the brightness/darkness change in the viewfinder, and work backwards in your mind.
Sometimes I'll go 'out and about' with a NEX-7 (same sensor as the A6000 you're thinking of getting) and a nice two lens arrangement of a Sigma 30mm f2.8 DN (in E-mount) and the DA 70.
Now, I've got that 16-50 kit lens you're thinking of and it's miserable.
Sony E 16-50mm f/3.5-5.6 OSS PZ (SEL-1650) - Review / Test Report - Analysis
The wide end suffers in particular from what mirrorless mounts cop as a result of their short registration distances.
A couple of quite good pieces of native glass suited to travel would be the 10-18mm (which I don't have) and the 55-210mm (which I do).
They are among the twenty or so lenses that can actually use the Hybrid Focus system of the A6000, if you make sure the lens' firmware is up to date.