@Frank Apisa,
the forensics suggest a close encounter in which several scenarios could be deduced.
1Yours above, because there were no defensive wounds
2another, in which Brown was grabbing for the officers gun and was stopped by the shots. Brown had powder burn on his body as determined from the police forensics team (They DID NOT from the forensic done by the family ).
The disparity of results may be due to the fact tht Browns body was washed by the mortuary after the police forensic team exam and before the families forensic team exam .Also, some tissue was extracted and detailed powder exams were done by several presumptive and quantitative means.
It gonna be an interesting battle of lawyers.