I own a CZ tactical sport, it's a IPSC standard gun NOT designed for bullseye shooting. It allows fast repeat shooting due to it's heavy weight and the overall design makes it almost on par with a tricked out STI standard gun for IPSC standard matches. Bullseye is a whole different story. For bullseye speed is not much of an issue, the main focus is on accuracy. While the CZ TS have superb accuracy in the IPSC standard world, it is not sufficient for Bullseye, unless you are not shooting competitively. Of course I'm talking about out of the box accuracy here. STI has the real advantage of having excellent out of box accuracy. Though for the price difference, I bet you can get a gunsmith to get the CZ TS tricked out to be just as accurate, ie get a tighter fit between the barrel and the bushing. Full length SS or even a tungsten(lots of work to be done) guide rod. But then again, you wouldn't use a butcher knife for fileting a fish, why bother using a gun specifcially designed for IPSC standard for bullseye?
And depending on how big your hands are, you may find one is more comfortable to shoot than the other, Edge is a single stack, TS is not only a double stack, it's on the big side for a double stack as well.
As for cosmetics you will like the STI better probably. The CZ TS has a blued slide, and an epoxy coated cast frame. The checkering on the CZ TS is not very defined. I will probably strip the epoxy and make the checkering sharper and coat it with nickle plating. STI is a 1911 copy so the slide is taller, giving you more room to hold on to the slide, the CZ TS is a CZ duh! so the sides of the slide is much narrower, less room for you to hold on to. You will really notice the difference if you had a heavy recoil spring on. It can be very hard to slide the slide back on the CZ TS, although you can use the high rear sight on the CZ TS to help... it's generally not recommended. Just some things that I thought you should know.
With all that said, don't think for one nanosecond that I regret getting my CZ TACTICAL SPORT. I ABSOLUTELY LOVE it because it meets all the requirement I need it to for an IPSC standard gun. And you can get it from gunsnthings.com for less than 1100 with taxes in!
But the gun aside, only tons and tons and tons of practice can reveal the guns' full potential. If you are just gonna buy a gun that you are going to be pampering in your hand and imagining how good it would make you look when you shoot it ALL THE TIME. Then you might as well get an airsoft replica. LOL.
If you got the cash, get BOTH. Find out for yourself which one is better. LOL. Ok I admit it's kinda foolish to say such thing cuz if really had that kind cash wouldn't be posting the question here.
Anyway, I think I said enough. Hope it helps! Heh