If you can't find the parts online, it's highly unlikely your local repair guy will have any. He's just orders most of his parts online just as you or I would. Your best bet is to attempt a repair yourself.
Generally, the plastic hinge you see is on the outside is only a shell. The real one is usually a small metal hinge underneath held in by screws to the screen chassis and the base chassis. Sometimes, the screws just loosen which can cause a loose floppy screen. These can be fixed by finding the proper tension screw or bolt and tightening it. Other times, the screws come out or are sheared off by a fall and the hinge is no longer fixed to one chassis. Worst case scenario is the hinge has failed. If this is the case, you probably won't be able to find an exact replacement, so you might have to get creative. But you might be able to find a part number for the hinge stamped or stickered to it, and you might be able to try googling for that.
Also try googling for the model numbers (not just model name) on the bottom of the laptop. Some laptop manufacturers outsource to other companies or simply rebrand other models. You might be able to find a sister laptop sold by another company with the same exact parts.
Good luck!