Daubrey,I'm also suprised that it doesn't have brake canisters with springs. Possibly a problem with the larger size of the canister,and interference.It must have some type of emergency brake system,in case the trailer were to come off the truck,the trailers brakes would set.
This is what I understand so far:
The truck doesn't have similiar problems with other trailers.(most likely eliminates the truck as the problem)
The trailer has only one valve,which was replaced with a new one.The problem didn't change.(could the valve have been plumbed wrong before,and you've duplicted the error on the new valve?)
You've six diaphram only brake cans,each with one hose.All release at the same rate.(Do the hoses connect to the valve individually,or do they go to a common connection,then to the valve?If a common connection,could there be a internal obstruction in that connection causing slow air bleed?)
The only other things I can think of are:
Could the supply line,between the glad hand and valve,be pinched or obstucted causing slow bleed off of pressure when you release the brake pedal?To the valve it would appear like your slowly backing off the brake pedal,therefore it would slowly decrease the pressure to the cans.(It would also cause the brake pressure to increase slowly as you brake.Might be a clue if it seems like it does do that.)
Unless the trailer is old,old,old it must have some provisions (by law) for emergency braking.Possibly an air tank that dumps air to the cans when the emergency(red)glad hand is removed.I would think this odd,but I can't think how else it could do it.There could be a problem in this area that would cause the service brake problem.
That brings up the question,is this trailer an antique?(pre 70's)If so,then that might also be an issue.They didn't have any standardization on brake systems in the early trailers,and I've heard of problems when mixing trucks and trailers of different brake design.They may have the same emergency/supply air line hook-ups,but the air flow transfer rates,brake chamber volume,etc,were sometimes very mismatched between truck and trailer,until the manufacturers were given guidelines on what they MUST be.
I hope you find the problem,and if you do please post what it was.I'm very curious now!