I think seldom people use a uwa as a walkabout ... kit lens serve a better walkabout lens, higher end walkabout would be 17-55 f2.8
On the short end, the 11mm (tokina) and 10mm (Nikon) are pretty wide on a DX already ...
Now on the price.. I paid ard $1300 for my n10-24mm, but tokina is selling only <1k but yet you are getting f2.8.
use the extra 300+ to buy a good pcs of b+w uv filter and a CPL
- Nikon 10-24mm f/3.5-4.5G (if you are die hard nikkor fans)
- Tokina 11-16mm f2.8 (very popular uwa for DX)
Can't say much about the two above lenses, but I used the Nikon AF-S 12-24/f4 on my D200 on a trip to JiuZhaiGou some years back, the results are wonderful. You're welcome to view the album and see some many of the shots taken with this lens.