BARWING Pull Up Bar Station, Power Tower, Dip Station with 3D Backrest, Multi-Function Strength Training Stand Rack, Adjustable Height Dip Bar for Home Gym Workout Stand Fitness Exercise Equipment

Try a cheap power tower. This one’s 30% off now and almost at your price limitation. https://a.co/d/8M5CjlI being 6’ though you’d have to bend your knees to dangle with almost any sort of freestanding pull-up bar