Let me put in a plug for the much-maligned brand Pletscher. Their "Athlete" model mounts to seatstay eyes or brake bolt and is much sturdier than the common mousetrap rack. And if you're lucky, you can find a basket that hooks to it (or use Pletscher's own rack/basket systems).
See my bikes:
Basket on rack: http://www.wooljersey.com/
And see http://www.pletscher.ch Pletscher has a USA distributo in, I think, Hudson Ohio, but I can't recall the name offhand. I think it's on the Pletscher website somewhere.
Arlington, MA USA
beandk at are-see-enn dot com