Most of the ones I own, the 1000mAh OEM LaCrosse-branded ones that came with my charger stay above 1.4V for a good 30 minutes of use in my O-like green ~86mW of power output on the fully charged batteries. The standard 850mAh energizers and 750mAh LSD yuasa enitimes I own aren't quite as good, but they also come don't drop to the 1.2V mark. Most NiMHs in my experience come off a charger at 1.4V+
Yes, you're right that the occasional discharge of a battery is better in the long term for any rechargeable battery (especially with batteries that haven't been used in a while) but there isn't much advantage to doing this EVERY TIME. For the most part, if you charge your batteries when they're not completely discharged, no ill effects will come of it.
You are right in saying, as I warned about before, that overcharging is what REALLY kills NiMHs, but as yobresal pointed out, his duracell charger should protect against that.
Also, in general, the higher current you charge your batteries at, the quicker you will kill them in the long run. I find about 200mAh is a safe bet for most AAAs/AAs. Although unless you have a fancy charger you can't usually select the current. (This is also why I advise against "speed chargers" since all they're doing is running a higher current through the battery, sure you will get a full charge quicker, but you'll fry your batteries in the process.)