That Coach Palfrey guy has a site and book on training with sandbags. There are good videos there on how to do various lifts with sandbags. Technically, that is equipment so if you were looking for cheap ways without having to get any equipment, that one sorta walks the line. I suppose you could use any old duffel bag, but they ones they show have extra handles all over them. And sand can be bought at the home improvement store or you could probably even use bags of manure or cat litter.
Female, 5'3", 50, Max squat: 202.5lbs. Max deadlift: 225 x 3.