Agreed on 'avoiding eye contact'; or rather, to make it sound less pathological, I would say it's good to keep a focused attitude, and strive to be noticed as little as possible.
Besides cleaning the equipment, I would also suggest to replace properly the weights, leaving your rack/platform in a better condition than you found it, even if it means putting away weights you have not used.
My experience tells me that after a while, this sort of behaviour is in fact noticed by a small group of people in the gym; in this group, you will probably find some individuals you will be able to trust for a spot.
IPB