Air carrier Captain reported a critical ground conflict while taxiing in the BNA ramp non-movement area due to less than adequate wingtip clearance with the nose of a parked aircraft. Captain stated the ramp is increasingly congested and suggested ramp control be established.

Narrative

In brief; the BNA ramp non-movement areas are becoming increasingly congested; with overnight RON from other airlines. It is a matter of time before a collision with wingtips occurs. We were taxiing out with Large Transport Aircraft X; outbound lane; which was a challenge in itself coordinating two inbounds and ensuring we had wingtip clearance; but when we passed by the last stretch; before turning to exit at Spot X; an Other Carrier Aircraft Y was parked nose sticking out so far; that if I had not veered to the right; we might have struck our winglet on the nose of the radome of that Aircraft Y.We confronted Ground Control and they stated; 'Sorry but we have limited ability to control what Other Carriers do while parking RON.' True; that is a non-movement area. I will suggest below what needs to be done. I think it was a questionable idea to build a remote terminal at that spot; I understand 'buses' will take Passengers from the main terminal to that location! Can you imagine? With the outbound traffic trying to mitigate conflict with vehicular traffic? This is a poorly conceived idea.It is now time to get Ramp Control activated. It is a matter of time before two of our aircraft have wingtip-to-wingtip damage. Sometimes we broadcast inbound and nobody explains that there are two pushing back! Unfortunately not everyone is consistent with broadcasts.