Hi and welcome the forum! I am glad that I can help you.
You would like to know whether there is any way to tell when mono is not contagious anymore.
Mononucleosis is a disease caused by the Ebstain-Barr virus. The virus causes temporary weakening of the immune system so the disease is often recognized by a sore throat(Steptococcus spec. tonsillitis). It is characterized with additional symptoms like fever, exhaustion, mialgia and rash. It may sometimes develop into chronic mono. This is characterized with exhaustion when exerting oneself, lack of sleep and headache, etc.
According to the data that you described, you would like to know how long you should wait to prevent passing it anymore. There is no strict period after which doctors can say whether someone is recovered and not infective any more. If there are symptoms characteristic for chronic mononucleosis, it is not likely that mono could be passed anymore. However, you should wait for a few months because your immune system might be weakened and you are at risk of being infected with bacteria or viruses, from which you might find it difficult to recover.
Please keep in mind that I provide medical information only. I am not able to diagnose medical conditions online. Please contact your doctor for further advice and information about mononucleosis.