In most fiction that features the Amazons of Greek myth, one common thread between them is a general disdain for men. It is taught from a young age. So these young amazons would have to be quite rebellious indeed to act contrary to that.
So you would have to create a new myth. Perhaps in a fantasy world. New cultures, new lands. In that world, there are a race of female warriors who do accept men, but strictly for breeding purposes. They go out on the world, experience men as you suggested, a Rumspringa, and hopefully come home knocked up.
They have a special potion that the men drink beforehand which increases their stamina and decreases refractory times, while also killing sperm (temporarily) that carry a Y chromosome, ensuring a female child.
A subplot in any Amazon story is where the next generation of strong, independent female warriors comes from. It offers (shiver!) all kinds of possibilities.