You should take a second look at Mercer Island.
Public schools: The public school is as good as you'll find in the area. You can check our test scores at the link below.
Washington State Report Card
Private schools: I think about 30% of the students go to private schools so transportation issues are not as bad as some other areas. There are private schools for almost every demographic, some like Lakeside are supposed to be strong academically, others are more concerned with grooming socially active adults, many are religious, you get the idea.
Good biking: The island has lots of bike paths and most drivers are pretty considerate. The island loop is very popular and takes about an hour. We do that a couple times a week and it never seems to get old. There is a bike path into Seattle and Bellevue that I like a lot. The link below might be of help.
http://www.ci.mercer-island.wa.us/Fi...PARKSGUIDE.PDF
Pedestrian friendly: We live close to the business district and can walk for most errands. The rest of the island is very walkable but the only other concentration of businesses is on the South end.
Dog beach: Luther Burbank park on the North end has two dog beaches, the new one is for shy dogs. Dogs are also allowed off-leash at most other island parks as long as they are under voice control and don't bother other people. Dogs are not allowed at places like school grounds and sport courts for obvious reasons. We take our dog to the landings on the West side for swimming, it's perfectly legal and less crowded.
Public transportation: The commute to Seattle is very good. The park and ride has lots of options into Seattle and Bellevue. Get online and you'll be able to see what route heads to where you'll be working.
Metro Timetables
There are some neighborhoods where 4 bedroom 50's and 60's era housing starts around $700k. If you want a view of Seattle and the lake you will have to spend more. Redfin.com is a good web site to see what the prices are for an area. You zoom in and out on the map, enter you search criteria and the listing are found for you. Redfin seems to work best with Internet Explorer.
There is a Mormon church on the island but overall the folks here are a typical mix for the area. My daughter's best friend is Mormon and we have been to the church for a couple events. The folks there are very nice but that shouldn't be a surprise.
Politics: We used to elect Republicans but that isn't the case today. Some of our Republicans have changed parties because they weren't able to get anything done being in the minority.
Mercer Island is a good option for people wanting a safe and quiet family-oriented town with easy access to Seattle and Bellevue. The home prices are higher but after looking at time and money saved on commuting you might find it's your best option.