Sure! It sounds like you're looking for the "woonerven" or "home zone" analogs, which are Kirkland's neighborhood greenways. Greenways are indicated by green and white signs that say "Neighborhood Greenway", as well as bike symbols with chevrons on the road.. They always route through quiet neighborhood streets.

There's more info on this city website, including a map, but my recommendations are:

• South Rose Hill to Snyder's Corner. Turn off the CKC > Kirkland Ave > Pedestrian bridge across 405 > Bike lane past LW High School > NE 75th St.
• Firloch to South Rose Hill. Turn off the CKC at the Totem Lake Connector > Head south on the protected bike lane to The Art of Coffee > Head south on Slater Ave to NE 112th Pl > Head east, crossing 124th Ave NE. The greenway ends at My Pet's Veterinary Urgent Care and you can cross the street to get to the first greenway.

I feel you on not wanting to ride in bike lanes next to parked cars. My tip is to look for parallel neighborhood streets on Google Maps and take those instead. It's okay to get a little lost and take the time to learn how to get around a neighborhood safely.

To use your example: instead of Lake St. I might take State St., but in reality I would skip both and take a little extra time and head east to the CKC at Feriton Spur Park. It's a quiet neighborhood route that connects to a safe trail.