Good Morning, Ektagraphic,
Are you thinking of long exposures as in twilight/night shots or long exposures as in 1/15 to several seconds, as in flowing-water shots? Your post seems to indicate something like the latter. The Tri-X should work out, although I'd lean toward TMY myself.
If you plan night shots (many seconds or minutes), I'd ditch the Tri-X and go to a film with better reciprocity characteristics, such as T-100 or Acros. Since you indicate tripod usage, the slower film should cause no problems and would give less-grainy results, especially if the "roll of TRI-X 400" happens to be 35mm.
Konical