Most of the beacons I hear have 1kHz modulation so if I listen on AM, that is the frequency I hear. If I am listening to a CW signal and tweak the BFO for my 'preferred' tone, it is usually about 750Hz +/-. Unfortunately an AM signal is liable to be swamped with lightning crashes and locally generated interference, mainly due to of course "Amplitude" modulation. If I go to the G303 SDR then I can switch to CW and actually just select one sideband in the filter. If the mod freq is 1kHz, then I can easily pick the upper sideband and treat it as a CW signal. The 'BFO' then makes this into the 750Hz tone - although I can adjust this in the settings. Unfortunately a 'normal' CW receiver has a problem with MCW if you cannot get the bandwidth right down - you get an audio tone from the carrier and a different one (or two?) from the modulation. You can get rid of the carrier tone by retuning but the best way is to tweak the BFO to get zero beat - retuning to get rid of the carrier only puts the signal out of the passband.
Here's the picture for AM...
You can see the carrier and the two sidebands with the carrier freq 382kHz.
..and for CW on the carrier only....
In theory all I should hear is a continuous tone - in fact there is 'negative' modulation! The carrier level drops with modulation - usually a sign of power supply poor regulation.
..and then for selecting the USB on CW...
Here I have selected the USB by detuning - the carrier and LSB is inaudible as it is outside the 580Hz bandwidth.