Cherrypickers' doesn't list a value, 'too little information is available'. Interesting variety, and, apparently very scarce.
I would not put much of a premium on this variety. Just because something is scarce does not make it valuable. I would price it the same and then maybe add a small premium. The market for these varieties is not that large, hence you do not have a lot of people looking for them. The ones that are looking for them, tend to like to "cherry" them themselves. While neat, it is not worth more than a regular 1834 quarter in this grade. That said, the coin is worth anywhere from $150-$250 depending on what it looks like in hand.