Yes, it will shoot the 95grn Berger VLD just fine. For reloading, I would try the following powders Reloader 22, H4350, H4831 or VV-N160.
Try this load and components with the 95grn Berger:
1. Lapua Brass
2. 52grns Reloader 22
3. Federal 210M Primers
Good luck.
W.