Really appreciate everyone's input, guys. Thanks.
When I get a chance again, I plan on going through this thread once more and sit down with the TR-8, and a bunch of plugins, and a BIG cup of coffee.
Overall, I had a chance to experiment shortly after Sharke's first suggestion, and I did manage to get the TR-8 to sound better. With the type of music that I prefer to make, which is somewhere in the dark corner of ambient and downtempo techno.
It seems that the trick for it to remain subtle. I try to follow and create music along the lines of my favorite artists: Solar Fields, Scann-Tec, Aes Dana, and basically anything under the Ultimae label. However, these dudes are LIGHT-YEARS ahead of me...well, they are professionals, duh!
Critically listening to their tracks reveals that their rhythms are mostly comprised of 808 and 909 sounds, but seemingly not over-processed. Tweaking the TR-8's controls, I can mimic the sounds almost spot on with minimal treatments. So it's almost as if the sounds are pretty dry. But when tossed into my tracks, then it all goes to Hell.
I guess I got a lot of work to do!
I've also been experimenting with some gritty, external reverb units like the MicroverbIII and the MidiverbII, and a little gritty ambience goes a long way. I can see why these units were popular back in the day.