I am thinking about getting a peach cocktail tree next spring. It has 5 kinds of peaches on one tree. They are elberta, bell of GA, bounty, red haven, and hale haven. I have room for the tree in a sunny spot. I live in Nebraska which is now zone 6. The website says it grows in zones 5-8, so good there. But this area seems to get a lot of late frosts We usually have overnight frost a few times in April. I heard this could damage flowers on trees and then they don't make fruit. Will we be able to grow peaches on the tree or will they all be damaged by april frost?