I believe that burlap would work but you will need a strong support structure to hold it. I am wondering if the buds are knocked off by the trees hitting the garage. when the wind hits. If that is so you might consider espalier growing. That would eliminate that problem, if I am reading your tree is nestled in front of the south of the garage. If the trees buds are broken by the shear force of the wind, you will need more that burlap. Good luck.

Steve