Please accept my apology for this very late reply. You asked the question on July 11th, 2009.
The three listed tuning systems, compromise, just intonation and equal temperament all have pros and cons.
The best of the three types would be the one that would best fit your style of playing.
If you play single note melodies, but no chords, the equal temperament would be best for you. Chords played with the equal temperament are to some people, not as pleasant to the ears as the other two systems. But the equal temperament sounds the best for melodic playing.
If you play some chords and melodic playing, the just intonation might be the best for you. The just intonation is an adjustment from the equal temperament. Some just intonation system reeds are re-tuned so that they sound better when chords are used, more pleasant to the ears.
If you play mostly chords and only a few single note melodies, or no melodies, the compromise tuning may be the best for you. The compromise tuning is a further tweaking of the equal temperament system, more than the just intonation.
In bebop-jazz, like most other types of jazz, the performer's emphasis is usually on the melody, with less chordal work. Unless you intend to play background accompaniment only.
