Spend a little money on a 1 year subscription to Consumer Reports if you haven't already. I don't receive the magazines I just use the .com. From what I have seen on there, it will be a long time before I buy from the Big 3 ever again.
From what I have seen:
Hyundai Veracruz received a 75 overall
Ford Explorer received a 58 overall
and Chevy Traverse is currently being tested by them
Never heard of the Traverse. Then again since my Trailblazer is a piece of crap I haven't really looked at any GM products since the first year I was stuck in that piece of crap....
(My Trailblazer has been in and out of the shop every year since the year I bought it. Half of the repairs weren't even covered under their 3/36 warranty. Kind of amazing when you have normal wear and tear items going before 36,000 on it.)
I'll place a bet that after CR finishes reviewing the Traverse that it will come in lower than the Veracruz.
If you are considering the Traverse...look at the Saturn Outlook, it received a 75 from CR and the Traverse is very similar to it.
I don't trust many other review sites other than CR anymore. I use edmunds and Autosite quite a bit for pricing but I depend on CR for reviews. For an extra fee you can also subscribe for "Bottom Line Price" from CR. Reason for my opinion on CR...when you go to their site, you won't see any advertisements.
Good luck with your shopping. Look at carsdirect.com also.