@Rare Eagle,
for me, transrational suggests some kind of superiority over being rational... a transcendence. Irrational, though a completely valid description of faith (irrational: not governed by or according to reason), on the other hand, has negative connotations... I suggest "arational":
arational: Not within the domain of what can be understood or analyzed by reason; outside the competence of the rules of reason.
"Scientific knowledge is conceptual, rational, and testable. Mystical knowledge is usually aconceptual, arational, and does not lend itself to interpersonal testing."
- Ervin Laszlo, "Why Should I Believe in Science?", 1974, Philosophy and Phenomenological Research, vol. 34, no. 4, p. 484