When I took Organic, I never had to look up Pka values. What helped me was understanding the more a molecule can hold the charge, that is the more resonance opportunities a molecule has with the charge, the more acidic it is. In example, compare the acidity of phenol with ethanol. There is also some rules you just have to remember such as with alcohols. So if I was given this task I would first look for the acidic areas within the molecule and then think about resonance opportunities that are available for that position within the molecule. Next I would think about the position in question and see if it maybe resembles a structure that already has a Pka given to it and then +/- Pka according to its resonance opportunities.
And lastly, if none of these suggestions work I'm sure we can make some theoretical calculations to come up with an estimated Pka.
Looking at hydroxyzine, I see some acidic positions that resemble molecules that already have a Pka assigned to them, as well as, a basic center that I'm pretty sure you can find the Pka or at least find a Pka that is similar to the basic area.
Hope this helps in your quest for medicinal enlightenment!