I think that just about sums it all up. Shoot a speed bow and then shoot one of the others mentioned. Make sure you have an arm guard on. Speed is fun, but not the answer. I too shot the Liberty, Justice, Outback, and others before I ended up with my current selection. I would also advise you look at a bow in the 36"-38" axle to axle range. For newer archers, they can help build a more consistant form, while providing a very stable shooting platform. All bows can be shot accurately, it really is the dummy behind the bow that makes all the mistakes. Just give yourself the best chance from the start and pick a smooth, forgiving setup and you will enjoy it much more. It is much more fun to drill the X or the deer at 280 fps than to sling for 8's all day and shoot a pie-plate group.
Always have fun,
JMAC