I know nothing of Taipans but can chime in about the lead-free .25 pellets. There are two that I know of that are good, the H&N Baracuda Greens in 20 grain and the Predator GTOs in 16.5 grain, and both can be accurate out of the right gun or right tune. From a rest they will shoot an inch at 50 yards out of my Seneca Aspen and Airforce Condor. The GTOs will do that down to 13 ft#, so maybe they are more forgiving of low velocity, but of course it always depends on one's particular gun. Of note they can be shot backwards at close range and will expand like a hollow point.
The third pellet I know of is the Skenko Black Max 32 grain, which is some kind of steel head with a plastic skirt/sabot, which I have found inaccurate in every .25 gun I've tried (Hatsans, Aspen, Airforce). Oh, and Zan makes an unleaded slug in .25 but I haven't tried them yet.
In .22 there are more like half a dozen options, and in .177 there are a dozen or so.