I am so sorry to hear about the recent decline and spread to the liver. Not sure if you are close to NCI in Bethesda, MD, but they were able to review my mom's records and set up an appointment within a week and I feel sure most research centers would be able to do that. They do want people for clinical trials as long as they are strong enough to participate (platelet count high enough, have enough healthy liver tissue left, etc). My mom did not benefit from the trial she participated in, but we did get lots of support and information which was a big help to us.
I think it is wise to get hospice involved. In the state of Virginia, you can have hospice involved and still be involved in a trial and chemotherapy but that is not always the case in all states. Just because you call in hospice does not have to mean that you aren't going to keep looking for help. The doctor will usually agree to hospice if they think the person has less than 6 months and if cancer has returned, that is usually the case. However, there are plenty of success stories of people that have lived many months longer than that and still been getting hospice. If you do get hospice involved, I would highly recommend getting these books from them or from the bookstore: FInal Gift and Crossing the Creek (written by Michael Holmes). The first one can be gotten in any bookstore. The second one has to be borrowed from a hospice or ordered. They are essential to helping you get through all of this. I wish you all the best.