Are we on a checkride or real world
Checkride - teach the reg, don't land at departure airport.
Real World - if you're just off the ground, ATC does not want you leaving JFK going to LAX loss comm...not helpful.
Loss comm is not an emergency, although it can turn into one for other reasons.
1) Leave clearance limit (without GPS how do you know where the airport is anyway?) and proceed to IAF and hold until ETA.
2) Good luck, this same argument can be made for published portions of an approach (feeder route for example). If the min altitude on a feeder route is lower than your Expected/Assigned...what do you fly? Arguments can be made both ways. In the FL410 example, commence a normal descent once within range and on a published portion.
In reality, the rules are designed for NON-RADAR because if you're squawking 7600 ATC can see you.
The AIM has some good examples as well.