I have printed ASA on my Anycubic S1. It's enclosed but doesn't have an active chamber heater. It uses the bed heater to slowly heat the chamber. It's $350.
It technically worked the very first time but it still took like 3 prints tuning the temperature to get good layer adhesion. (I was printing extremely thin and narrow parts and the ASA would break along layer lines.)
Going only by YouTube reviewers, the Qidi Plus 4 seems to be the best low end for "engineering" filaments. $700 and out of the box it has a hardened nozzle, high temp hardened extruder, and active chamber heating- plus a 305mm build volume. Even their $400 Q2 has a hardened nozzle and active chamber heating.