Web2000,
The suggested ratio of fish per tank is 1" of adult fish per 5 gallons of water. Assuming no deduction for LR or DSB, that would be a maximum of 27" of adult fish.
Humu Trigger - 10"
Harlequin Wrasse - 10"
Puffer - 12" to 16" depending on the species
Lions - 12" or 7" for Dwarf/Fuzzy
Naso Tang - 16"
As you can see the adult size of these fish will overstock your tank considerably. Trigger fish are listed as a caution with all other fish because of their aggressive and toothy behavior.

If the Trigger was to harras and kill your Puffer the poison released by the Puffer could nuke your tank.
The 135 is really too small for three large territorial tangs like the Naso.
Don't mean to rain on your deal but three 10" or less fish would be the maximum for your FOWLR set-up.