But, according to the wiring diagram, I connected the L channel amp positive and negative wires to one set of the positive and negative wires from the Sub 10, and similarly, I connected the R channel subwoofer positive and negative wires to the other set of positive and negative wires from the Sub 10 (could this setup have been problematic?).
This looks like it might be the issue here. If you have the amp set up for bridge/mono then the L+ amp output will have the positive waveform on it and the R+ will have the inverted waveform. If you then have the positive of one sub voice coil attached to the amp L+ and the other voice coil positive attached to the amp R+ then you've set the sub voice coils up to cancel each other. We've had a number of conversations where I work (work is slow at the moment) and we really don't see why this would cause the amp to blow. Maybe others can shed some light.
A typical correct setup for the sub/bridged amp would have only two wires going to your amp from the sub: Positive on the sub going to L+ on the amp and negative on the sub going to R+ on the amp. The two voice coils on the sub can be connected in series or parallel. Choose which ever configuration your sub and amp support. Your amp will drive between a 4-8 Ohm load. So if your voice coils are 4 ohms each hook them in series. If your voice coils are 8 ohms each hook them in parallel. (I looked but couldn't find the info on your sub.)