To Filter or not to Filter fruit brandies

[Aidas]

First of all, I searched the forums and read the results for two days running, did plenty of other internet searches, and now feel that I've done enough prior to posting the question here.

I've just distilled (using a countertop distiller -- modified water distilling machine) an undrinkable grape wine (acid content too high). In the two small runs (4 liters of wine each), it seems that I've found the heart. The smell is nice (grappa-ish) and the taste clean and grappa-ish.

Now, the question is, should I filter this? I don't want to lose the nose and taste, but I also don't want a hangover.

I've saved the heads and tails for redistilling to make a clean spirit. i understand that, later, I should filter the results after dillution to get a clean vodka.

Any suggestions?

Aidas