UC Berkeley's program aim is to produce researchers, so they'd be a bad fit based on the other programs you mentioned. I'm sure their match rates are 90%+ as all of the UC's I"m familiar with offer stellar programs (albeit mostly research based).
JFK…very expensive ($33k+ /yr) and horrible APA-acred. match rates…7-15% the last bunch of years. Most likely many/most of their students didn't want to leave the area so they applied to local sites and when they didn't match they took non-acred. sites so they could graduate.
Baylor is excellent. It is one of the top 3 Psy.D. programs in the country. Despite being wait-listed there, I still highly recommend them.
LIU….pretty good training from what I've seen, though their tuition is nuts ($47k/yr). They offer partial funding…though I'm not sure of the breakdown, as they only list total funding for each yr. Their match rates are pretty good 70%-80%+. Cost is the big issue w. them. I know someone who lived w. family and still came out 6-figures in debt.