You can handle him, he's done with the shed cycle and now has stuck shed from the sounds of it. You can try a couple of things, you can put him in a container with water coming about halfway up his side for 15-30 minutes, water should be around 80 degrees. You can wet a pillowcase with warm water and place him inside, tie the top and put him back in the cage, come back in an hour or so. These probably won't remove all of the shed, but as long as it's off mostly, cleared off his eyes and tip of tail especially then it'll come off with the next shed or by itself eventually, not a huge worry. Or you can run a warm wet cloth down his body after the soaks but since you said he didn't like handling it may be less stress not to. You also need to raise the ambient humidity in the cage, if he's shedding that poorly then it's definitely not a healthy level for him and puts him at risk for RI's and illnesses. Maybe a pic of it and we could advise some changes that could help?