I don't like one watch for everything. The watch band on a hiking and running watch gets soaked in sweat leaving the salt deposits behind and the band gets rather stiff if it is made from leather or nylon. Also leather bands don't last as long as nylon. I hate the newer plastic or rubber bands... to sweaty.
Here are the watches I have used in the picture.
Left is my military issued watch. You have to wind it every day. I retired it after 20 years, because I got tired of winding it. It is over 40 years old and still keeps perfect time. I also retired it because it is a collector's item and is becoming more valuable each year. It is made by Benrus and has a 17 jewel movement. Also there are small numbers are the military time marks, e.g. 3 or 15.
The center watch is the first Victronix Swiss Army Watch. I got it because it has a battery and date function. But the luminous parts (need to shine a light on it for a while) is very small -- only on the hands; whereas the military watch has luminous points on all the numbers too. I like the face of the Swiss Army watch the best. Very clean and easy to read. I retired it after 20 years, because it was also becoming a collector item and I did not want to break it... but like the military watch it has held up over time.
The watch on the right is what I wear now. Notice the band is getting icky for city use. I got this because it has an Indiglo button to light it up at night. It works well. The housing is made from some sort of resin, but it has held up so far. I think some of the actual US military spec watches today are resin, so they are pretty tough.
If this breaks I will get a military style watch with tritium for night use. Tritium is a radioactive material that will be bright at night. No button or internal light needed. Tritium has a half-life of about 10 years, so it should be bright enough to read for 20 years or so. On a quality tritium watch, the tritium vials can be renewed once they get too dim. Tritium is the same material the military uses in their compasses. A Traser P5900 can be gotten for around $120. The housing is made from resin. It does not have a rotating dial. A good tritium watch with a metal housing will be way outside your budget.
If you get a watch with spring bars, get a NATO style band. If one bar breaks or comes out, the watch will still stay on your wrist. A NATO band is one long band that threads over the spring bars and under the watch case.
So what would I do if I were you? I would get two watches. Probably a Timex Expedition for hiking and running. And a good dress watch... gives your wife something to buy you for Xmas or birthday. My main dress watch is a Seiko my dad gave me when I graduated from high school, so that has held up too.
On second thought, the watch you should be wearing on those helicopter trips is a Rolex Black Submariner Oyster Bracelet Mens Watch. I found one on sale for $9,949 if you are interested.