Probably 0% chance. Maybe a small possibility for Princeton if there is a *perfect* fit. But the no research is going to kill you. Your letters are all going to say "divideBy0 did well in my class, asked insightful questions, and would do well in grad school". To be honest, your profile just doesn't stand out in any way.
For HCI, there are many subareas. Here's my unofficial ranking (totally my opinion, so don't flame me):
Social computing/CSCW:
CMU HCII
UC Irvine
Michigan iSchool
Cornell
Georgia Tech
Maryland
Washington
Minnesota
Northwestern
Illinois
Stanford
HCI Systems (engineering):
MIT Media Lab
CMU HCII
Berkeley
KAIST
UToronto
MIT CSAIL
Stanford
Washington
Wisconsin
Crowdsourcing/MOOCs:
CMU HCII
Stanford
MIT
Oxford
Rochester
Texas
Behavioral Data:
Washington
Harvard
Brown
CMU HCII
MIT
Michigan iSchool
UNC iSchool
Qualitative:
CMU HCII
UC Irvine
Cornell
Washington iSchool
Maryland
Indiana
UBC
Health/Mobile:
Georgia Tech
CMU HCII
Washington
Maryland
Northeastern
Minnesota
Interaction Techniques:
Toronto
CMU HCII
Hasso Platner Institute
Waterloo
Maryland
Washington
Usability/Human Factors/Design:
Maryland
KAIST
Indiana
CMU HCII
Washington
Penn State
UCSD
Maryland
Stanford
Visualization:
Utah
Washington
Georgia Tech
UBC
Brown
Maryland
Virginia Tech