What you describe exists but is very expensive. You can get the features and reliability of an enterprise grad router for really cheap for a very small time investment. I never, ever, ever, ever, have to reboot my router or have any issues whatsoever with it, the only time it gets rebooted is for a new firmware revision.
Could you explain a little bit more what you need and I can you a wider range of suggestions.
1. Whats your budget
2. How much time are you willing to spend total for setup
3. How many wired devices will be connecting to this and at what speed 10/100/1000
4. How many wireless devices will be connecting wirelessly and at what speeds? (IE A/B/G/N)
5. What kind of wireless range are you hoping to attain? Do you want usable connectivity in the Front Yard, Back Yard, and Garage?
6. Does the location that you want the router have power nearby? If not you would want to look at a solution that offers Power Over Ethernet.
Note the uptime.