If you are really cranking the tone controls on your pre in the upper bass/lower mid region, then extra headroom might help. My guess is, the Lakland is not 18 volt capable, and you'd have to route to make room for the extra battery even if it was. It sounds like you are trying to muscle to inherent tone of one fine instrument to match the inherent tone of another fine instrument. That is usually the recipe for endless tweaking and frustration. Play the Bongo!
Again, from your original post, you were talking about output level. 18 volt won't help you there, but using the correct input (non-padded passive) will. If you are cranking the pre tone controls enough to clip a well made preamp (9 volt or otherwise), IMO, that gets into 'operator error' territory for me.
EQ is best used to cut in general, and for those little battery operated on-board systems, is best used to tweak, not to change the inherent tone of an instrument. The higher quality and more powerful amplifier EQ is better used for that IMO.