Im new to the handgun hunting but I went out last weekend with my S&W 629 and dropped a doe at 50yrds. It was a blast! My question is does anyone know the range for a 243 out of a 15" barrel and what kinda groups are you getting at 100yrds? Im looking at the 243 Encore pistol
Welcome to the forum & CONGRATS on your 1st handgun deer!!! 
Way cool!!!
And to top it off you killed it with a real handgun, not one of them "handrifles". You don't need no stinkin' 243! Now take your .44 & go harvest more as you know you can!!
Just kidding about the handrifle thing although after a few years of playing with both all I have left is the revolvers. Just a personal preference thing.
The 243 is a great cartridge although I never had one in a pistol. I had a 6mm Remington (very similiar ballistics) in a Ruger #1 rifle that made more of a mess of the chest cavity of a deer than anything else I ever shot one with. It was like melted jello mixed with raw hamburger in there. She sloshed when we picked her up.
One that I did have & is really hard to beat in an Encore pistol for deer in my mind is a 7mm-08.
Again, congrats on your doe!! Got any pics? We like pics

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Vance in AK.
Matthew 6:33
"But seek first the kingdom of God and His righteousness, and all these things shall be added to you."