In the present condition you have--at most--a 5 dollar coin. So, it comes down to what you think will result in the most enjoyment when you look at it. I probably wouldn't. I can see all of the important details and I like the dark patina. After all, I think some of these coins SHOULD look like they've been in the ground for 100 years.
The patina is probably sturdy enough to stand up to a quick 30-60 minute tumble. You could probably improve the details a bit if you want. But, when the patina comes off I find that they have more detail but can't always be viewed clearly from straight on.
The nice thing about tumbling is that there's no harm in stopping the tumbler and checking. But, you have to completely dry the coin with a blow dryer to know how it's really going to turn out.
