Hi and welcome.
Far as I know the BD will do a very good job in that guitar....well, depending on what you want.
If you could give some more info on what style you play and what tone you want we can give you a better answer.
Also what is the neck wood and fretboard? Those are rather important to the tone.
What kind of guitar is it? Can you descibe the acoustic tone?
I might be misunderstanding you here and I donīt mean any offence, but you are aware that baritone is not a wood, but a scale length? Might just be misreading this, but in case I am not: The baritone means that the strings run a longer length, which tonally means that there are more highs and lows (and the lows are more defined), which leads to the middy BD being so great as it results in a more balanced tone.