Even if u feel that only ur front two teeth are a problem, then also when u want to get them in perfect position u definitely require braces. That is the best treatment that u can get and any other treatment is a compromise. Like u mentioned it requires correct and accurate diagnosis of ur problem which will require some x rays, photos of teeth and face and three dimensional models. There is no asap treatment with braces as it requires minimum one to one and half year to move ur teeth in ideal positions. It's a part of ur body u are talking about moving to a more favourable position without harming it. Also usually there is no question of swelling and pain with braces treatment.

Hello , it would just take a day to complete all your pretreatment radiographs..and another day for taking your pre treatment records like photos, casts etc... You will not have any kind of swelling in your with braces , yes it might pain for 4 -5 days but dat set.. it might a year for your treatment to be completed

It is not necessary  that you required braces. If you want to correct  only front two teeth in less time then RCT follows by capping  can help u. As your teeth are procline, after RCT it is possible  to make it retrocline. RCT of both teeth can be done in single sitting  in one day and capping will take 2-3 days only.