The tranquilizer:
If we assume BM used the normal animal tranquilizer, ketamine, I can give some insight into its effects on a human. I was on a medical trial for a ketamine nose spray to be used to treat depression. Obviously the doses I was given were intended for human use and not intended to knock me out completely. During my treatments I would receive my first dose of 1 spray in each nostril first, then 15 minutes later I would receive a second round of 1 spray in each nostril. The first dose didn't really do anything notable. The 2nd dose usually kicked in after about 5 minutes. At this point, the doctor would question me about how I was feeling, whether I felt dizzy or not, if I felt like my mind was separate from my body (hard to explain feeling), EKGs would be performed. I was required to stay in the reclining chair that everything took place in due to the effects on co-ordination. Prior to treatments, I was offered a last chance to use the bathroom because I would be I the recliner for more than 2 hours while the doctor observed me and they did not want me to attempt walking once the doses were administered. Anyway, like I said, the first dose didn't do much, but within a few minutes of the 2nd dose, my thoughts would get really fuzzy, the room/walls around me would start to look wavy, kind of like when the room spins after drinking, from there, the Dr would ask me questions and I had a hard time answering them because my thoughts were muddled and my brain felt out of sync with my mouth. If they had allowed me to get up and walk at that point, I would not have been able to because my muscles didn't feel like they worked anymore. I had a hard time keeping my head up because it felt like my neck couldn't support the weight of my head. All of these feelings would continue for approximately an hour. When the treatment was completed for the day (approximately 2 hours from start to finish) my husband was required to come up to the office and help get me out to the car because my legs still felt like jello. He would get me in the car and drive home which took about 30 minutes. During the ride home, I was still having some effects from the drug. I drove my husband nuts because I was constantly jumping because in my mind he was driving way too fast (he wasn't) and the other cars all seemed like they were trying to play bumper cars with us ( they werent). Once home I would lay down and fall asleep for a few hours. I usually woke up feeling completely normal, but because the effects can continue, I was not allowed to drive for 24 hours following a treatment.
So, all that to say, if Suzanne was shot with a dart containing ketamine, I would assume it's a much larger dose than what I was given, but she definitely would have lost her ability to run from BM pretty quickly and I doubt she would have the muscle function to fight him off after a very short time. Depending on the dose, she could have passed out completely very shortly after the shot. She could have woken back up after, but she would probably still have the effects of the med going on. Ketamine would make it very easy for Barry to overpower her and move her at his leisure and that could continue for hours. In my mind, Barry had alot of time to bury her, push her off a cliff, throw her down a mine shaft, or do any number of things with her before she actually died which could explain the lack of cadaverine. The 3 hour window that has been brought up actually makes alot of sense from my perspective.