airlock isn't only a sign of fermentation. never go by airlock activity to determine FG.
never stir anything that is nearing the end, or has reached the end, of fermentation. never. if it hasn't reached FG, then try warming it up a few degrees, and wait.
if you're at FG and you have confirmed that by checking two days apart, and there's no off-flavors, then you're fine to bottle it. if you have the capability (which it seems like you likely don't), then you could cold crash it and those yeast rafts should drop out after 2-3 days. if not, then eventually the yeast will drop out if you just wait. before i could cold crash i usually waited at least three weeks to bottle. but if you're not really too concerned about clarity in your final product, then go ahead and bottle.