The tea isn't going to brew that way. It takes time for the tea compounds to infuse into the water. temperature greatly affects the rate that it happens. Hence, you use boiling or near boiling water + a few minutes of steeping.
You can try cold brewing tea. It takes 12 hours, give or take a few hours depending on your taste. 1 teabag per 8 oz of water, and let it sit in room temperature or colder water.
I've had sun tea before. It's supposedly dangerous though. ---