Although you could get cold weather and some snow on high ground, wet and windy weather is much more likely to be your main problem! In those conditions, and with cool (but above zero) temperatures, it is hard to keep your kit dry and once it is wet, it can be almost impossible to get it dried out again.
You can use multiple dry bags to pack your kit and ensure that you can keep wet and dry stuff separate. It's also important to pitch carefully (not easily done in poor conditions) so that the inner and outer won't touch each other when the wind batters your tent about - maybe worth carrying some extra pegs and guy lines.
If you want to climb some extra hills as a side trip, then the Red Cuillin are likely to be a better choice that the Munros.
https://www.walkhighlands.co.uk/skye/glamaig.shtml (without Glamaig!) and
https://www.walkhighlands.co.uk/skye/marsco.shtml are convenient while on the trail, and
https://www.walkhighlands.co.uk/skye/beinnnacailleach.shtml is very good if you are staying in Broadford at the end.