Sump Discharge Carry
I had a similar  project at my son's home so we dug a 100 foot trench about 2 feet deep, the deeper the better, added 12" of gravel (rocks), laid in 4" schedule 35 perforated drain pipe, a little more gravel, and then a layer of top soil. Planted grass seed and all the water drains into the ground. You can not bury a flexible hose but can lay it on top of the ground, YUK.