While you could use Aloe Vera 3 times a day, using tea tree oil 3 times a day for 3 days would be a perfect way to see what happens when you use too much of the stuff. The skin gets white, flakey and dry, and you will be back here saying that tea tree oil is too strong for your skin, and we will be telling you to use Aloe Vera 3 to 6 times a day to speed the reversal of your overuse of the tea tree oil.
Ice is ok, you are just supposed to have something between your skin and the ice. So ice wrapped in a wash clothe or a cold pack in a terrycloth towel are recommended. It is only for swelling, so if you have no swelling, no need for ice.
I make my aloe vera do double duty. Since real Aloe must be refrigerated after opening, I let the cold Aloe take the place of ice for me. Another good thing for swelling is a natural item you can find in your homeopathic section called Arnica Montana. Many of the surgeons I work with use it for post surgery, and have their patients popping them like skittles. The strength of the pills comes in 6 12 and 30, needless to say, just get the 30 if you can find it. Got that, Arnica Montana 30. I have actually seen them sold in Wal-Mart Pharmacy, and The Vitamin Shoppe.