+1 on what john recommended
of course traditional hinges will require the hinge pin (pivot point) to be past the farthest point of the lid/body, to aoid hinge bind/so that the lid can pivot freely. a good solution is a hinge that moves the door away as it opens, like the soss john suggested. as you can see, the body material is not thick enough to accept the barrel diameter. i would buy a few, experiment, then see if glue blocks will be required to hold the hinge.
traditional hinges will work tho (not invisible), but will likely also require some blocking provision for the hinge screws.