Except for the size of town, you are describing Oakridge to a "T". It's a little over 3000 in population, but only a 30-45-minute drive to the Eugene-Springfield area.
You like to be near the forest and mountains?
We're in the foothills of the Cascades and surrounded by National Forest land.
Want to be by large boating lake or river(s)?
We have many bodies of water only a short distance away. In fact, due to our proximity to perfect boating areas, there's a new speed boat manufacturer coming to town to set up shop. You can read/watch about it here -
Boat manufacturer may be headed to Oakridge | KVAL CBS 13 - News, Weather and Sports - Eugene, OR - Eugene, Oregon | Local & Regional News
There are many housing and construction possibilities in Oakridge and very reasonably priced.
We have warm summers and about as much precip as Eugene. We average about a foot of snow a winter, although this past winter we got a bit more than that, which was good. The mountains needed the snowpack. You'll have plenty of chances to enjoy a fireplace.
Love to lay in bed at night and hear the sound of a train off in the distance?
The railroad comes right through town, carrying freight and passengers (Amtrak), and yes, it's a soothing sound at night.
You can see many pictures and read up on Oakridge here -
http://www.city-data.com/city/Oakridge-Oregon.html