A Ruger Mark II or Mark III Target model (usually 6" barrel) is a great and inexpensive way to get started, and even if you decide you don't like BE you will still have an accurate, versatile and fun to shoot range/hunting pistol. Until you get quite good at BE you won't need a more accurate pistol.
There's lots of room to get better with the .22 before you invest big bucks in a higher end 1911. For matches, I recommend the Federal Auto Match .22LR you can get at Walmart for about $15 for a box of 325. Better than the cheap stuff but still affordable.