Thanks, everyone! I think I'm gonna try the following sideboard:

1 Gaddock Teeg
1 Reclamation Sage
2 Krosan Grip
2 Rest In Peace
2 Sphere of Resistance
1 Nephalia Academy
2 Surgical Extraction
2 Moment's Peace
2 Thought-Knot Seer

I also ordered two copies of Silence, although I don't know what I would take out for them.

A Hive Mind question (as this card always killed me in Modern): Nature's Claim never solved the problem because they could cast a Pact in response and I still get the copy even though Hive Mind gets destroyed. If I Krosan Grip a Hive Mind, however, they can't respond at all, thus saving me from the upkeep loss... correct?