
Responsible stud dog owners don't actively try to find bitches -they show or work their dogs and if good enough, bitch owners will approach them, having seen the dog. Responsible breeders (i.e. the bitch owners) will not be looking at pet dogs close to home or dogs being advertised as available, they look in the show ring etc and pick the very best available. Hence the people you are likely to be approached by are the irresponsible, out to make a quick buck from breeding.
It can change a male dog a LOT to be used at stud. I am currently living through it with one of mine (show dog) that has changed 100 % after being used just the once. The constant leg cocking indoors and the aggression towards all other dogs is hard to cope with. Neutering doesn't always solve such problems either -in fact every single one of my neutered dogs will still go after bitches in season and will still mate them and tie even -having lost their testicles didn't mean they forgot they had them. But when neutered before having been used for breeding, at least they don't have AS a stronge urge to mate as a dog that has been used will do.
In other words -you are far better off neutering and forgetting about any stud work. For both your own sake, the dog's sake and the breed as a whole.