Do not confront your wife at this time. If you tell her how you found out, she'll just get better at hiding things from you. Forget about roosters and do not confront the other guy(s) either. No woman is worth fighting over, no matter how much you love her. If she truly loved you, she wouldn't be expecting you to put your health and life on the line to prove your love. Besides, it isn't your love that is causing this. It is her lack of love and respect for you that is bringing this situation about.
The thing to do right now is to be silent and watch and listen. Later when you find out more, do what you must do whether it's couseling or confronting her. If you decide to confront her, speak to an attorney first. Also, get your financial house in order. Keep an eye on your money. No need in letting an adulterer break your heart and rob you blind too.
BTW, in Missouri, what your wife is doing falls under the term "marital misconduct". Although Missouri is a "no fault" divorce state, the judges do not look favorably on marital misconduct.
Although society tries to give marriage romantic overtones, the truth is that marriage is nothing more than a business partnership. Your business partner is behaving in unethical ways and is considering breaking some of the partnership rules that you both agreed to. If she does break them, dissolve the partnership. Divide the assets equally and fairly but do not, I repeat, do not stay in business with an unethical partner.