Trident doesn't support chime simulation, it was only implemented on earlier SB-100 based Stern games such as Lectronamo and Wild Fyre.
Trident shipped with SB-100 that did not have the simulated chime support, so the Weebly board is a direct replacement.
While Stern Dracula and Nugent software supported chime simulation, the SB-100 they were shipped with had the chime simulation components deleted.
Quoted from 67cutlass:Is there an idiot proof way of doing it? My thinking would be trying to find the connects with wires attached and then connect them to the wires I already have. Not ideal, but it would work.
Whatever you do, don't solder wires directly to the sound board. Look up how to install/crimp connectors, they're not hard to do.
Ask the board seller if he by chance has a pair of connectors he could supply.