How do you have access to the crime scene (and to items to test)?
How do you know he travelled on foot, bike and bus?
Again, sorry if I missed it here, you write a lot, and I haven´t had time to read. 
The crime scene details and the ransom note has been used to produce a profile of the killer, Others have travel on foot, bike and bus that have a connection to this crime and left right after Christmas. The local police did not track them down but was on the list.
The crime scene has been remodeled but the property still stay the same. City files of the neighborhood, photos, and interviews has been very helpful when you have a good profile. People do want to do the right thing and have call the local police but when their voices and not heard, they look to others for action.
At first the local police had search the house for hours, and was ready to give the crime scene back to the family, then one member of the police got it back for a week. They collected over a 1,000 items. The crime scene had more than 1,000 items and these other items of our interest have not been tested. This is where we come in. In the lab, we say, to many items just collected to be collected in a crime scene does not help the case.
One item of interest tested that fit our profile has not been tested and with today's tools and training may break this case. Each month we has CSI certified training workshops. We can do a lot today that they did not think of back then.
Before the killer became the killer of JonBenet, he stayed in the house, he handle many items with gloves and with out gloves. The items he handle and let there as a clue to the family has become the items of interest. Today's tools can link him to the crime.
Did you know that a lab can find a finger print on paper that is over 50 years old. When you talk, the items near you mouth collect DNA and this can be tested to produce a profile.
It looks to us that the Boulder police did not know what they were looking for at that time because they were looking at the family as the persons of interest.
Tips and ideas have come in to the contact list. People know more than what has been made public.
Many items from the house is no longer with the family but some are.
Thank you for your question.
The items of interest that is set to be tested I will post after these items of interest are completed.
Jack the Ripper may have been link to a person of interest at that time, work done by a person with an idea and training of DNA.
Team JBI