Putting on my juror hat. After we all sat down and got going I'd do a chart --yes he did it, no, hasn't been proven. Off the top of my head the only item I would put under no is that the death wasn't definitely ruled a murder. Reasoning from that starting point. Was motive proven-yes. Did he have time enough to kill her-yes. He acted strangely all day why is that? Did he have the knowledge to kill her without leaving conclusive evidence? Yes, and not because an inmate said so. He was a DR. He had looked up whatever in the PDR just before her death.
Giving him the benefit of the doubt , let's say he didn't try to kill her, she ended up in the tub by accident. Did he do everything he could as a DR and a husband to try to save her? No. Best case he didn't try very hard. Worst case, he actively interfered with the attempts of others to help her.
His behavior was bizarre at the hospital, but that's not evidence. Right after returning home tho, for a fact he involved others in throwing away all her drugs, and in throwing many of her belongings into the garage. Whould an innocent person do this? Um...No. would a grieving husband do this? No. Would a DR trained in how to handle death scenes do this? No.
He's guilty of obstruction of justice. Would an innocent person deliberately try to conceal a crime scene? No.
I vote guilty on both charges. Throw the book at him, judge. Just IMO.