Wanted to post a few updates. Haven't talked to the well guy about a dole valve yet (been very busy here), but I left a message for him yesterday, so I should hear back today or tomorrow.
So, they cleaned the well on Friday, Feb 28. By the next afternoon, Saturday, Mar 1, the water in the house was very clear. It remained very clear until the next Saturday, Mar 8. It was cloudy all that day. We had been trying to limit water use some by not running the washing machine (still ran the dishwasher, etc). It was all clear again by Sunday the 9th and is still clear today. I don't know if the water softener ran Friday night and that is why we had cloudy water on Saturday (due potentially to high water usage of the softener). Temperatures have been going up around here and I think that Friday night/Saturday was the first time we stayed above freezing. Not sure if that has anything to do with it.
Another interesting piece of information is that my wife told me that before the well cleaners left they mentioned that we had loads of water in the well ("enough for the entire neighborhood"). They said they were getting 15 gpm when running the pump. I think they ran it for 30 min to an hour.
Also, I filled up a bottle of water the morning after the cleaning and put the lid on it. There were definitely air bubbles in the water, but not enough to make a significant air bubble form at the top of the bottle after a week. I did notice, however, that after a week the water in the bottle had cleared up significantly and there was a very small amount of very fine "sediment" (for lack of a better word) at the bottom of the bottle. When the water clouded up again last Saturday, I took another sample and am watching it closely.