Thanks to all for your answers and thoughts, thus far. The unit in question is not a certain Lincs unit you will (possibly) be glad to hear.
Having referred to the AP on his behalf, I believe it contradicts itself somewhat in that it states, to the effect of 'may be worn unless on parade'. Remembrance is a parade and thus means we cannot wear them.
However, in the sub-para it states that they may be worn with No1 dress. Now, there are not many instances of when you would be wearing No1 dress, but the main one that springs to mind is obviously, Remembrance parade.
I therefore return to square one! Our parade will be an unarmed parade, however, personnel will be marching and I agree with previous posts in that we are likely to leave a trail of poppies behind us.
Any more ideas for me to consider? Oh, the SWO is new so is trying to learn all this on the fly. Actually a top bloke, and at least he is trying to do it the right way rather than fly by the seat of his pants - gotta give him credit for that. Too often in the past this Unit has just made things up on the corner of a fag packet!
Thanks again to all your replies/suggestions/input etc, etc so far.