I think there is an obvious way: Save the right BPM tempo in your presets. So instead of setting your delay value to 300 ms, set it up to follow eights @ 100 BPM. This will give you 300 ms when calling up the preset, but will instantly change to whatever tempo you tap.

PS: The formula would be ms = 240,000 * Note / BPM resp. BPM = 240,000 * Note / ms, e.g. 240,000 * 1/8 / 300 ms = 100 BPM