Hmm... How to out-wrestle a wrestler? Learn to wrestle. Like others have said, have a wrestler work shot after shot on you. A good wrestler will get past your hands, so you need to have a "plan B" for stopping the attack. My Plan A is always to stuff the shot, I rarely sprawl my feet backwards, but lift them UP and drop my hips to meet the shot. I stunt the guy's momentum and have him sitting back on his heels.
Plan B for me on a guy stunted on his knees is a front headlock and NO hesitation rip the roll. Plan B if a guy has my foot or leg is to keep moving forward and putting pressure on them, then spinning for position, or working for the front headlock again. If the guy gets to his feet and has my leg up, I'm kicking to get my foot between his legs and I'm putting pressure forward on them and working for the wizzer if he's moving away from the leg, or an over under tip or front headlock if he's moving into the leg (see a pattern here? Favorite move of mine, your mileage may vary).
The major issue, in my book, is putting pressure on them to snuff the shot. Wrestlers will push and push and push to drive the shot home, even if they miss the first one. You've gotta counter that push and use it against them. You first have to STOP their push, by pushing back, then redirect the fight.
The easiest way to counter any wrestling shot, in my book, is to overhook an arm when he shoots and spin to the back as you sprawl. By the time he realizes he missed the shot, you're already on his back. If you miss the spin, you at least still stopped his shot, and got him thinking defensively for a second, and you can either spin the other way, or hit the wizzer or front head lock.
I don't dig cross facing on a shot. It's a defensive move. I don't wrestle not to lose, I wrestle to win. The cross face buys you time, but at the end of the day, it's still not gaining you much unless you have a ton of strength over your opponent, and if that's the case, there are better options anyway.