Let's see...

Out of Chattanooga but still close
Retirement living
Nice but reasonable price
Low crime
Close to outdoor range
Bicycling

Sounds like Greenbriar Cove in Collegedale. Housing * Seegreenbriarcove If you get tired there's also assisted living in another section.... and another section beyond that for those who become very tired.

For bicycling and walking there's direct access to Wolftever Creek Greenway, and Collegedale police is located right there on the greenway. Collegedale, TN - Official Website - Wolftever Creek Greenway I've posted a lot of pics of Veterans Park which is on the greenway. Let's go for a Memorial Day walk

Chattanooga Rifle club is 3mi away. CRC

Anyway... there's a lot to look in the Chattanooga area.