Disclaimer: I'm in the security business.
braindead0 wrote:
As long as you don't mind anyone being able to remote control it from anywhere.
If you have good security on the router and utilize good personal security protocols this won't be a problem.
To the OP: Will the timer work? Sure ... unless the (apparently unreliable) router doesn't recover from the hard reboot. Furthermore, every electric/electronic device has a life cycle - largely tied to the number of power cycles it goes through (although, there are other factors). Cycling the power on your router - a device intended to be turned on and left on - will shorten its life cycle.
Instead of using a kluge, get yourself a good, reliable dual-band router. You care enough to have a security system in your home. Why create a weak link with a junk router?
I highly recommend the TP-LINK Archer C9 AC1900. It's about $120 on Amazon. For another $20, you can get the high power version which will give you more range. We often see cameras and other WiFi devices dropping due to router range issues.