My solution to the Aryan problem and the Indo-European question is presented in three of my papers.
We can now indeed trace the Indo-Europeanization of the world at a fairly great level of detail. In my opinion, the only way to do this is to work backwards.
(a) The first approach is the Outside in approach - start with Ireland first, UK next etc (Those languages which are the farthest from the Indo-European homeland in Central Asia will be analyzed first.)
(b) The second approach is to start from the present and work backwards (English, for example will be analyzed in reverse to identify lateral influences, (Approach B will be executed within Approach A)
(c) Another approach can be to research regions that were indirectly influenced by Indo-Europeanization, then proceed with Approach B, then Approach A.
This is bound to work. I cannot obviously do this all by myself. A multi-disciplinary team with competence in multiple languages is a must.
Sujay Rao Mandavilli