In reply to John Cuthbert:
That bothy (Garbh Coire) is in such a lovely position, albeit slightly off the Lairig Ghru. It's not large, it's neat and simple and clean and tidy. I looked in on the way up to the scramble to The Angel's Peak in November on the Sunday that it chucked it down again (for several days), from Derry lodge until I got home at 4.30am, and nearly didn't get through the water near Blairgowrie. So don't forget that precipitation can be a real problem.
With less experience, I'd consider John's thought to do Munros or similar. Possibly see if you could hire the Steall hut at the end of the road section of Glen Nevis, and do some of the Mamores +/- The Aonachs if the weather is good enough with your experience.
Alternatively stay at the bothy beneath Stob Ban at the end of the Grey Corries, and do some of the Corbetts and Munros from there.
Have you looked at the dull maps in the Bothy Bible? They may give an idea. You could head to Somewhere like the Coran Bunkhouse, next to the ferry, and depending on the weather head further north to beyond Fort William, or west for some of the less high hills, or back south to hills further south than Glen Coe, such as ones around Glen Orchy, or Crianlarich. I'm saying follow the better weather, so you could head much further east if rain is in the west, by travelling to Spean Bridge, and head to Newtonmore/A9 (Drumochter hills can be swift to do from the the area of the pass)
It's getting late on a Sunday, and I apologize for waffling somewhat.