I wear a size 10D sneaker in most brands' lasts, though with the New Balance SL-1 last, I tend to favor an EE width ... and in their SL-2 last, I am a solid 10.5D.

Sneakers that have worked well for me in the past are:

ASICS GT-3000 series
Brooks ARIEL
Brooks ADRENALINE
Brooks ADDICTION
New Balance 1260-series
New Balance 1340-series
New Balance 940-series (usually need a 10.5 as the last runs short)
RYKA KM-series (current model is KM-7)

Is there anything else I should try?

I am not looking for fashion sneakers like Keds or Skechers, but real athletic shoes. (This drives DH crazy, but because I am so anal about this, I'm not the one whining about my feet and back every time we have to walk further than 30 feet. Which is pretty much every summer vacation.)