Your chances are slim. Despite claims that "men are convicted of rape every day," many cases never make it to the courtroom:
The Criminal Justice Response. Despite the prevalence of rape and sexual assault,
many offenders are neither arrested nor prosecuted. A number of factors may contribute to low arrest rates – but police biases (e.g., believing that many victims falsely claim rape to get
attention, or that only those who’ve been physically injured are telling the truth) persist, and may account for some officers’ unwillingness to make an arrest. Also, the trauma that often accompanies a sexual assault can leave a victim’s memory and verbal skills impaired – and without trauma-sensitive interviewing techniques, a women’s initial account can sometimes seem fragmented.
Even when arrests are made, prosecutors are often reluctant to take on rape and sexual assault cases – and,
in some jurisdictions, the backlog of untested rape kits can also be a factor in low prosecution rates.
http://www.whitehouse.gov/sites/default/files/docs/sexual_assault_report_1-21-14.pdf