Blood evidence is going to be a big part of the case with out a body.
Blood patterns and the quantity will
be crucial to convincing a jury to convict for murder if they cannot find G by the time the trial begins.
i highly doubt Tee will have used any form of weapon that would (in her mind) contradict her story that he ran away, a gun leaves a bullet wound ... if the bullet didn't exit the body it can be used to compare to any weapon she would have had access to.
blunt force trauma however in her estimation would be safer because she may have believed that LE couldn't determine exactly how the injury came about, her problem lies in that fall injuries and impact injuries from an object being used against a person can leave different evidence, including transfer and blood evidence as well as the type of injury left, patternation etc..
I think Tee dug into her tv crime show knowledge to try to cover her tracks, thinking she was tricky enough for that to succeed.
A deeper understanding of criminal investigative techniques she did not have.
as for his disposal, Tee needed somewhere she could leave him without getting herself particularly dirty or messy, she entered stores after we believe she hid G, she needed her appearance to not attract attention, especially if she returned to the same store more than once, a disheveled appearance or a change of outfit would definitely raise questions if security cameras were checked.
wild speculation about exotic forms death or of disposal that don't fit with the nature of the person involved and the time she had available is unnecessary and unhelpful.
we do not need to sensationalise this case. it is tragic enough already.