Use bent pins for the hinge pins instead of wire. Insert the pointy end through the loop in the hinge. It may bind a bit as it turns the corner, but it usually works.
Blacken the pins with Brass Black.
After measuring the distance between the hinge pins, pre-drill holes in the hull. The top hole is for the cover lanyard.
The cover lanyard is glued in the to hole, and fed through the cover and left loose there.
Using small needle nosed pliers, insert the pins into pre-drilled holes, inching each pin alternately so the cover approaches the hull evenly and you don't break one of the hinges off the cover.
And add a bit of CA glue to the pin with a toothpick just before shoving each pin all the way in with a needle nosed pliers.
Adjust the slide the cover up the lanyard until it's at the desired position.
Glue the lanyard to the cover.
The other end of the lanyard simulated the cover closing lanyard. It is carefully glued to the hull inside surface to simulate this line.