A description of the crime scene as seen by the sheriff would be quite generic, I think. He would probably describe it as an "ordinary" scene from an "ordinary" farmhouse at this time. He might have noticed the mess, the quilt, and even the canary; however, they would not have registered with him in any way as being anything extraordinary.
I won´t answer this question for you but I will give you some pointers to consider. The crux of the play lies in the observational powers of the women and their ability to piece together the motive for the crime and effectively solve it. The men do little in the play except stomp around ineffectively desperately searching for clues, which they do not find. So any account from Sheriff Peters would ignore the details that the women actually notice and the men laugh away as being nothing more than "trifles". You might want to read what the women notice and use that as a basis for a much more factual, "male" perspective. Hope this helps!
I'll take this perspective as if Sheriff Peters is in the bedroom examining the scene (this is where Mr. Wright was killed):
As I approached the bedroom, I saw Mr. Wright's head sticking out from underneath the quilt. His eyes were opened wide, his mouth agape, his face blue, his neck a deep purple and black, bruised from the rope that had been used to strangle him. The rope circled his neck loosely now, draping his chest. As my eyes began surveying the room, I noticed that everything was in order; nothing was out of place. Mr. Wright's clothes were placed neatly on the dressing chair and his shoes were lined up perfectly on the floor, as if they were waiting for him to step into them. Robbery, then, did not appear to be a motive.
That is a start. :)