Nice birthday present! I think you'll enjoy The Inn.
BTW, we first tried it about 10 or 11 years ago because Robert had tried it and thought it was nice.
As for West Side climbs that work with wrist injuries? If you want to keep it easy, Thundering Herd (5.4) is always fun. Easy and mossy (although recently re-bolted if I recall), but worth it and it won't harm the wrist. Also, reversing the Machete Descent leads to Barber's Backside (5.6) and a great view (plus you learn the Machete descent if you're not used to it).
And all routes on the "keep it private" part of the list are at a place called The Northeast Frontier," which is about as East Side as one can get. Like anyone posting here, you're welcome to the full information; they're just not yet available to the whole world. At least not until we finalize a few more of the projects out there

Oh, and BTW, I'm assuming that those nights will be soon? That is, before the raptor closures end? It might be fun to print out the photo/topo from the new routes list and at least check out The Inn Crowd. That can't be climbed yet (and will be too hot for a while anyway).