I don't understand how a biting, hissing, jumping Cham would willingly climb on you. Your definitely doing the right thing by giving him his space for a few days, preferably a week.
He should only associate you with positive experiences such as hand feeding and getting some sun.
Does he have an outside cage? An outside cage gives your Cham a home away from home, somewhere where he can feel safe while outside. Since he likes to be outside you want him to associate you with the positive experience, same idea as hand feeding. Since the stress seems to come in when your moving him outside I'd try to lure him onto a branch, with some snacks if he's still reluctant to do so on his own, and then slowly walk him over to his outdoor cage and let him climb into his new cage on his own.
If $ is an issue just buy a quality mesqueto net, they are cheap, and hang it above whatever bush your using.