Ok, I checked
http://www.liv.ac.uk/buffers/buffercalc.html
It turns out that I was a bit off on my guess as to the pH of 0.005 M H3PO4. One needs about half the moles in H3PO4 and half the moles in NaH2PO4 to get a pH of 2.1. The point I was trying to make is that you have such a low M+ concentration that you will not gain anything by using Li+, there is obviously something wrong here. First you say that you have a weak base which could make one to think that it is hardly ionized at your pH, then you mention that you expect a ~normal (pKa = 9) amine, which would be totally ionized and retained as stated by Carls already (I am a bit more careful about predictions today, but still it seems that even a very low capacity ion exchange should do the trick).
So, if the goal is to characterize, it might be time to give up the idea that you have an amine?
(Incidentally, it might be of relevance that Beynon of the above link thinks that the calculator should refuse answers at considerable lower pH and/or concentrations).