If you are operating in an acoustically-unfriendly space like a gym then you are starting out at a disadvantage with a difficult situation.
And if your presenters won’t stand stock-still directly in front of the microphone, then you have the same problem that most of us have. Modern speakers often move around and there is really nothing we can do about it.
You need to get better “signal-to-noise” (SNR) from the microphone. If you are getting too much ambient (amplified) signal back into the microphone, then you will have feedback problems. If this is the main speaker, I would be VERY insistent on putting a wireless mic on the presenter. Preferably a “headset” microphone. Or a clip-on lav mic which wold not be as good as a headset mic.
Of course a wireless mic properly attached to the presenter wouldn’t be appropriate for brief speakers (like the person making announcements or introducing the main speaker). For that, you need a mic on the podium. But for the main presenter, clearly that isn’t working for you. If the speaker moves around there is no amount of money you can spend on a microphone that will fix that problem. You are stuck between a rock and a hard place. Been there, done that, have the T-shirt.
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Recording audio without metering and monitoring is exactly like framing and focusing without looking at the viewfinder.