You have painted yourself into a corner. You say that you don’t want to put a microphone on the presenter, but then you describe environments that make any other kind of technique unworkable.
As Mr. Ford says, shotgun mics are NOT like zoom lenses or laser beams. And in acoustically difficult places, proximity is the best solution. Since you cannot affect the acoustic environment, your only choice is to get the microphone as close as possible to increase the signal-to-noise ratio.
Not to mention that shotgun mics are actually WORSE in environments with near reflections because they confuse the mic so it can’t discriminate between direct vs. reflected sounds.