There are plenty of excellent sixers in your budget, but you'd better buy a second hand model as you'll get a higher range one for the same price.
The Yamaha TRB-6P is certainly a great bass, with piezo pickups, a through neck, ebony fingerboard, 33 7/8 inches scale length, often around 5 kilos and is the basis of the John Patitucci model, so, certainly ticking all the boxes and was also used by Abraham Laboriel as a fiver.