I would look into the savage target action, you can get it designated as a pistol. There are plenty of options for stocks, Joel Russo, Neal Cooper and mcree precision. And you can use the savage barrel nut system and change barrels yourself... I love mine!
As pointed out above, illegalities abound with 700actions in pistol applications. XP100 pistol actions are essentially the same as model 600 rem. and model 7 rem., MOA Corp. makes a strong "falling block" pistol in a large variety of calibers,see the website
After posting this i have found several savage build on the target action that seems to interest me. I'll probably head that direction. Are the savage target action the same dimensions are a regular savage 10 other than they are single shots?