Last time I was there in a January it didnt stop raining and there was still heaps of snow around Homer tunnel. Thus we ended up spending more time at the Chasm, Babylon and Little Babylon. This guide is available as a download for a small fee from the NZAC and is well worth it for wet weather days.
The locals take a pair of gumboots for the approaches to these crags. I also heard recently they were closing the Milford road at night (and vacating Homer) though whatever precipitated this may have resolved.
Via the NZAC website you can link to ClimbNZ which has updates for new climbs. I am told the Shotwell slabs can be good. Ive only done the Bowen Allen Corner on Moirs mate. There are heaps of good routes up Moir, Moirs mate and Moirs little brother. Bowen Allen Corner was a classic.
Suggest having a car and be prepared to bail to Wye Creek or the Remarkables or Chinamans Bluff or Wanaka when you have had enough of the rain.