The itch and discharge you describe are typical symptoms of BV even though there is no smell.
Bacterial vaginosis is caused by a disturbance of normal bacterial equilibrium in the vagina. In bacterial vaginosis, there is an overgrowth of anaerobic bacteria (bacteria that grow without oxygen). Odour and discharge (creamy white and foamy) are the most common symptoms but some women have no symptoms at all.
I think you would be wise at this point to see your doctor. Another dose of Monistat may upset the bacterial equilibrium more.
In regards to sex, it's OK to have sex when you have a vaginal infection if the cause isn't a sexually transmitted infection. However intercourse might be uncomfortable, even painful, if you have an active vaginal infection.
The most common causes of vaginal infection are:
Yeast infections and bacterial vaginosis aren't sexually transmitted infections. Avoiding intercourse won't help your infection clear any sooner.
However, trichomoniasis is a sexually transmitted infection. To prevent possible reinfection, wait to have intercourse until you and your partner complete treatment and you no longer have symptoms.