In general Tier 2 will offer better options for strategy positions in corporates, but it also depends on the specific role you are targeting.
It also depends on what you mean by Tier 2 ;) I would personally consider Tier 2 RB, OW, Kearney and Strategy&, although there is no exact list for it.
VC is supercompetitive, whatever option you choose (I worked for one and got lucky getting in, even with the BCG brand).
If you have a clear idea of the exit, just look for the number of alumni of the companies you have offers from on LinkedIn for that specific position. That should help to understand which company is a better fit for that.