If you think that writing letters for a dozen years, visiting your target girl for several years, and then marrying her when you are sure she is honest, forget it. It is not a rational thing to do. If you think you will then take a lot of time and effort to prevent her from ditching you once she gets to the US, forget it. People in desperate straits will have incredible patience and will eventually screw you even if it takes 100 years. And will you really enjoy life in the meanwhile? Will you enjoy having a pen pal instead of girlfriend for several years? Will you enjoy having to go to such extremes of caution to keep tabs on your pen pal? If you really do have infinite resources it should be a snap to pick up a girl domestically.
Be rational. Don't do it.