I had a 20x11ish bass drum with no front head at all, a 16x10 with no front head at all, I currently play a 18x10 with a 4" port, and previously had a 18x7 with a 4" port and a 16x12" with a 4" port. All of the drums with resos and port had a single ply reso with floating edge ring (like Remo PS3 or Evans eq4) and either the same head or an Evans emad on the batter and no other muffling, pillows, tape, etc. With all of these drums I had a perfect balance of punch and tone, I could lay into them for a tight thump or could feather them for a soft boom, all of them had great presence and projection unmiced but also took to mic'ing very easily and always sounded great through a big system.
I don't like that dead clicky pillow metal/funk sound but I also don't like the wide open high pitched 'bonk' of the typical jazz sound, my above method has been tried and true for me with all drums regardless of size and always gives me the best of both worlds and overall most versatile drum. I'm typically using a regular felt beater but if the situation is a bit softer I'll swap it for a big fluffy beater. Lately I've been using the emad a ton and if I find myself in a very boomy/echoey room I'll swap the smaller foam ring for the larger foam ring but this is rare.