I say trying to bite at long range is a good way to get your teeth knocked out, At close range is another matter or used to escape a head lock or sort. Remember these guys are not going to be students letting you demo a technqiues. So acting crazy is different then being crazy and so is its success rate.
Attacking conventionaly entering and covering and end up with a bite or choke, things happen but I'd opt to stay moving and striking any pause leaves a chance to be hit hard and solid or tackled and stomped. Instead of techniques that make you pause I opt for eye, throat, grion, joint/knee attacks something that will make them pause.
Passing bodily fliuds is not the healthiest thhing to do now days, blood on your skin is one thing, but in your mouth under your tongue is one of the quickest way to get it into your system. Be it H-ABC r Aids or whatever gross out. I know you are jesting but this something to think about!!! I riddle you this, What happens then?