I can relate to the clay. Very frustrating here as well. Seeing as that you have equipment, cutting down a bit might be a great option, not just for the base but to avert the stubborn nutgrass and such we get. Then spray an herbicide killer and/or place a liner down for future weeds. And yes, some folks use pea gravel as it tends to gel together better and create a firmer/tighter base. You see others use sand, but depending on the soil and moment around/under the pool, sand can begin to seep-out (or down through cracks) and become useless. Once you have the pea gravel down, you can still toss some insulation pads, Gorilla pads, or something to go between that and the liner if you want that extra cushion for your feet. Hope that helps.