Most of the white peaches we encounter now are shippers. Wife bought some to make a cobbler. Not impressed.
We had a tree grew wild from seed that was white Belle of Georgia. The peaches were almot sugar and flavorful. Alas something killed the tree.
If you get an exceptional peach keep the pit and follow instructions, on line for chilling and planting or just throwi it the compost heap and keep rodents etc away from it. Do about a dozen and you might come up with an exceptional tree in about 6 years with great fruit. If I can find one at a nursery supply I going to plant a couple.