Chisel
As a woman, I feel I would go solo more than join a group even if they appeared 'apparently good'. If they meant me personal harm they would of course act inviting at first and groups are not necessarily safe if they panic or fight(ie over limited water/food,stress of circumstances). I would take extreme precautions as to low profile, alertness, etc while on my own. Not that I wouldn't offer assistance to others, I would just be very careful.
I frequently carry my keys through my fingers like a weapon and carry pepperspray in regular spray and also have a pepperspray that looks like an ordinary ink pen. A ring, like you would wear on your finger, that sprays is also available and I would like to get one eventually. These can easily be carried on my person most of the time even in plain sight. To trust only in strength/size is foolish because you may be injured or outnumbered.
I would like to take self defense classes with and without weapons because weapons can't always be carried in all places and the more I can do with just my mind and body only, the better.
Women have reusable alternatives and so can carry less if they choose. Someone in this thread already mentioned that (Lily) and I think more women should be aware of this.
I agree with No (Wo)Man is an Island and Safety in Numbers, but caution and alertness and self reliance is something I try for in my personal life. Sorry to ramble but this kind of subject always gets me going. If I have offend/got to far off topic just let me know.