Danish is called Danish Oil Finish and is usually applied by itself and left to mature naturally, as the wood gains patina. I have never applied lacquer over the top of it, but I should think you could, for the top only. You might consider leaving the sides just in the Danish finish and you would have two different characters for the box ( I sort of let the wood be my guide ). If you are not into feeling anything about the wood, probably an oil stain and lacquer makes it a one step process and easier. Can you take the top off easily? If so this gives you freedom to do the multi lacquer process without the chance of messing up the remainder of the box.
One final suggestion if you really want to get into this, for the top only. Using a steam iron, come within an inch of the top with the steam coming out and go over the top area using several passes. What this does is raise the minute fibers of the wood, which you then remove using 600 grit paper ( with the grain and lite pressure). Follow that by washing the dust off with denatured alcohol and allow sufficient time to dry. This will give you the best surface possible and possibily unveil additional character, if any.
Edited by Pugman1943, 20 May 2012 - 01:20 PM.