My sister worked for 10 years in a DNA lab analyzing rape kits (including those for unnatural acts with animals) among other things, so I will ask her about this. I would think that in a case not involving bodily fluids, such as the TSJs case, the V's DNA would so greatly outweigh any DNA from the P that it would require getting lucky to isolate the P's DNA off underwear. If they found third-party DNA that would be exculpatory, but the lack of TSJs DNA would probably not by itself mean a lot.
I have generally been negative about TSJ returning to play, but in trying to think how his legal team could distinguish his case from any other serious allegation, I would argue that his is no more than a "bald allegation" of wrongdoing - (1) the victim is the only witness, (2) of conduct that apparently happened in a busy public place with no other witnesses other than those who observed nothing, (3) there was no interaction alleged other than the criminal conduct, (4) that had to occur within a brief 2 minute window, (4) for which no other physical evidence exists such as DNA or visible injury (if true), (5) for which the victim did not take action against TSJ (slap, throw drink, etc.) or make any report to the bar security personnel or disclose to her friend at the time, (6) for which TSJ cooperated fully with all requests by the police department and denies unequivocally, and (7) which is completely out of character of TSJ based upon testimony of those that know him. While these facts don't irrefutably establish TSJ's innocence, I am sure you could get an expert witness to state that the Lawrence police and DA didn't do a proper investigation before filing the charges (i.e. not interviewing witnesses) and that, based upon evidence available, the possibility of a conviction on those facts is remote. This might be enough for the panel to decide to play TSJ, but not sure it is enough to compel the panel to allow TSJ to play.
The veracity of the victim would be important but probably not available to the panel or court - is she a church choir member, national honor society, student council president sort of person, or just a self-entitled18 year old girl illegally in a bar who might get offended and decide to make an allegation because TSJ blew her off and didn't talk to her or maybe for some other reason? - maybe not even understanding the real consequences of such an action and now facing prosecution for filing a false police report if she recants?
Not sure much can happen at the hearing on the 18th. Have to hope for a miracle that the Kansas DA reconsiders moving forward with the charges, something that would be out of character for her (although she has to consider that ruining a potential lottery picks pro career and not getting a conviction could be career suicide given her other troubles), or the judge steps in somehow.