Hey Matt,
welcome to Drumdojo. Thanks for joining with us.
The unported kick is great for acoustic and recording gigs but as you have found out is not always ideal for amplified events, particularly if you are looking for separation between mics. Sitting behind any drumset gives a drum sound that is different from that set's sound from out front.
The size & position of the port hole will make a difference to the sound that you get from the drum, the hole should be as small as possible, just enough to get a mic inside. It also needs to be offset from the center but modern ported heads do that anyway.
If a factory-ported head is affecting the sound too much it may be worth making a smaller port in a new head yourself. I haven't done this personally so I'm passing on third person advice but one way to do this is to heat up the end of a tin can (wear gloves) and burn a clean circle in the head. this avoids the raggedy edges that usually come with a blade cut.
It is also useful to consider that the moment you stick a mic in (or in front of) a drum and amplify it, the sound is already very different from the acoustic drum sound especially the particular sound that that you have as a p_layer_ sitting on the drum stool.
I'd say try a head with a smaller port and see if that retains more of the character of the pleasing acoustic drum sound, YMMV :)
If you want to stay with aported kick, here's some advice from Lyle Caldwell from the
recording drums sectionA good trick when miking the resonant head is to light a match, and hold it just to the side of the resonant head. While someone's playing strong quarter notes on the bass drum, bring the match across the face of the resonant head. When the air from the moving head blows out the match, stop and put the mic right there. This is a good place to get a lot of air movement, but not so much it might crap out the microphone. Let us know how you get on and thanks for asking.
Paul