"Platonic coffee" would not mean non-romantic coffee (whatever that means). It would be coffee that does not come from real beans. It would be coffee that was born in the imagination. It would be coffee that could not be drunk except in dreams.
"Coffee" is already a friendly word. You can ask anybody to meet you for a coffee in a public place.
"Platonic" does not only mean "non-romantic". You are thinking of "Platonic love" or "Platonic relationships". However, the word "Platonic" is broader than that. "Platonic" ideas are spiritual, non corporeal, ones.