"Though a jury is a good idea and the best we've got, the process they run through seems ripe for reform."
How do you justify the statement that a jury is the best idea that we have? Germany has the concept of Schöffe, and some believe this offers results that stick closer to the law than the jury system:
http://www.britannica.com/topic/Schoffe
While any government of mortal human flesh must inevitably have some flaws, the jury system seems especially bad at overcoming popular prejudice. In the USA, "a jury of one's peers" has often meant a mostly white (or all white) jury judging a black person, a circumstance that has given the USA many hundreds of famous miscarriages of justice.
The system that grew out of English Common Law, and which dominates England, Canada, the USA, Australia and New Zealand, is not the only system known to liberal Western societies. The English system is unique in the authority it gives to juries. Most of the Continental judicial systems either lack juries or have juries whose goal is constrained relative to the English system.
A review of the legal traditions in liberal Western nations reveals a lot of good ideas, many of which are probably superior to the jury system.