You will probably find it relatively impossible to weld aluminum. Even with a proper TIG setup it requires a fair amount of time to get the technique down, and consistency even longer. I would concentrate next if I were you on making the welder operate on DC. AC welding with TIG works well once you are able to unbalance the waveform to the negative side, as the balanced waveform you currently have will overheat the tungsten in short order. Positive polarity with respect to the workpiece sends about 80% of the heat to the tungsten due to ionic bombardment. In any given arc, the anode always gets hotter. Welding steel is a doddle compared to welding aluminum- about half the heat input required, because steel is a very poor conductor of heat away from the weld pool. You can weld it fine with an AC waveform as well, but AC waveforms are difficult to control unless you have fast zero crossing electronics built in to your welder. The arc typically extinquishes during the zero crossing event, unless your using SCRs and two seperate DC supplies, to speed up the switching time. Otherwise, you will be using HF the whole time to keep the channel open. With DC, you don't even have to use HF start, simply lift or scratch start the arc.
Also, thoriated tungsten is fine for aluminum- I've used it for years for that purpose, and stopped using pure tungsten long ago. You'll find 2% is far more durable for a given tungsten diameter, and arc starts are superior. Lanthanated is better for aluminum, but it is harder to find here in the states. And if you haven't already, get yourself an ARC welding helmet, or you'll find that "sandy" feeling in your eyes getting worse.If you haven't experienced the delights of arc flash in your eyes, or on your skin, I'd be surprised. That goes for plasma cutting too, especially on aluminum. It takes about fifteen or twenty seconds of arc time using my welder at 200A on aluminum to induce a burn on any exposed skin similar to what one would get after a full hour in the Florida sun. Wear a long sleeved shirt. Medium wave, short wave, and vacuum ultraviolet is produced in PRODIGIOUS amounts by these machines. The acrid smell while working a TIG isn't from the arc, its from the UV light produced, powerful enough to rip the oxygen molecules in the air apart, producing monatomic oxygen, ozone, and nitric acid.