Aside from the fact that obsessing over indiscriminate, random, unbridled "ugly bumping" (as you describe it) is just another addictive behaviour (because our brains are screaming for more endorphins), there is actually a pretty sound reason why people in AA are strongly advised not to get intimate with another person if either of you are new to the program. 

Quite simply, Tips old man, it will definitely place the sobriety of either or both of you in jeopardy.  

And, the idea that there will be no emotional involvement..??...well...have you ever lit the fuse on a large firecracker, and then held it between you fingers because you think there is at least a % of chance that it will not explode? 

I can guarantee you that I have seen it happen more than once, even in this underpopulated neck of the woods. 

PS.  If you really only want indiscriminate sex rather than a soulmate, I understand there are internet want ad sites for 'adult dating'. 

(I have to admit, I have found that working things out with my sweet little co-dependant of twenty years has led to much more gratifying intimacy.)