This is quite a bit under your budget at about $23 and it is just the soldering iron, not a soldering station but I bought the very similar previous version of it from this seller and I am very happy with it. It has a digital temperature adjustment that is accurate (it has a calibration function) and it heats up to the set temperature very fast. I timed it from room temperature to 350F in 9 to 11 seconds in several tests.