I have some excellent hot mike tales .
In a nordo approach wouldn't you just join downwind and hope for the steady green or do a missed approach just to wake the controller up
It depends. In the US, the Flight Information Handbook gives specific instructions. Of course troubleshoot, attempt contact on guard, then squawk 7600 and make all calls in the blind. If you're VMC(regardless whether IFR or VFR) you are expected to maintain VMC and proceed to land as soon as "practicable."
If you're IMC, it gets stickier. As to your route, you maintain the last
Assigned route
Vectors - if on vectors proceed direct from point of failure to fix/airway
Expected - in the absence of the previous, fly route told to expect
Filed - lastly, fly your route as filed if none apply
For altitude, fly the highest of:
Assigned
Minimum altitude for IFR ops - likely an MEA or such
Expected - if told to expect an altitude
these route/alt guidelines are referred to as
AVE FAME
For the approach, you'd commence from the IAF as close to your EFC or timing as filed or ammended. GCA's have their own lost comms as well.