I recently on Dec 8, have a set of Firestone Dueler Alenza 235/65/17 installed on my 2003 MDX at Costco. First day ride..steering was shaking at 60+ mph and pulling to the right side. Got it rebalanced and rerotated, then was shaking at 65mph+ and pulling right. Again rerotated and rebalanced, got on to a 2500 miles trip...Steering occassionally was shaking at 70+ mph, or sometimes at 80 mph and keep pulling to the right side. I wonder how many people have the same experiences with Firestone Dueler Alenza tires or simply poor job at Costco. I had Michelin Tires before and had never had steering shaking or pulling problem before. Each rotation at Costco took about 2 hours wait by the way, what a pain in the butt. And when I asked where each tire got moved to which wheel...they do not know and do not bother to track them. All they keep telling me it is the best tires in the world.
First of all, the Dueler Alenza is sold under the Bridgestone brand name, not Firestone.
Vibrations and pulling can be caused by any (or any combination) of a number of problems, including improper balancing, improper alignment, suspension problems (like bent components, worn/cracked bushings, etc), and tire manufacturing defects. You need to have a competent mechanic (preferably one who is ASE-certified in suspension work, or who has a lot of suspension experience) take a look at the car to diagnose the problem(s). You won't find one at Costco.
I suspect your problem is not with the tires themselves, but rather, either something is wrong with your car, or the wheels weren't balanced properly. Given that the tires were re-balanced, I'm betting on an alignment and/or suspension problem.
As for the Bridgestone Dueler H/L Alenza, I've been using them on my MDX with absolutely no problems. (I've had a few problems with the stock Michelin Cross-Terrains, with vibration/balancing and inflation problems as they get worn down.)
BTW, it's easy to do tire rotations yourself, even if you're not much of a mechanic. All you need is a torque wrench; you can buy one for under $20 at Harbor Freight. You can use the jack that comes with the car, or you can spend $50+ for a floor jack. If you don't have an extra wheel/tire, you can use the spare tire as a placeholder on the car as you move each wheel to a different corner. If it's not the first time you're doing it (or if you have someone knowledgeable showing you what to do), you should be able to do it in 30 minutes. As another alternative, you can have the tires rotated when you get your oil changed, since the car will be on a lift anyway. Either way, no need to wait two hours (!) at Costco.