To do it any other way is just frankly crazy talk. If there was half a tick left in my body, I would be VERY CONCERNED, and frankly, the last thing on my mind would be what to ask for compensation. After seeing a doctor, my point of view would change considerably, from concern to being peeved, and what to do about it.
After reading all of the postings, yes, if the hotel charges a $150 fee, then the hotel is taking responsibility, and yes, the hotel would bear the responsibility for delivering a spotless room. The menagerie of barking dogs is just as much of a problem, and compensation is due for that issue as well. One bark, no big deal, constant barking, big problem, and a sign that management is not doing their job.