well, depending on the last feeding, depends on wether you should wait or not. If he was fed just before the shed, and it will only be a week to 10 days before the next feeding, I would wait. But if he wasn't fed just before the shed, and it will be the same amount of time before the next feeding day, I would feed now. With you saying that his next feeding day is this friday, I would wait.
Now, as for handling after a shed, that is the best time to handle. not only do you get to see all the new pretty colors and skin, but will give your snake more time with you.