Direct to board from Pre-amp. Through a simple solid state pre, and a cheap Alesis compressor. Before the box compression is at about 4:1, knocking down 6-10dB when hit hard. I have simple 3 band tone control in the pre with a little boost on the low, and a lot of boost on the high.
In the box I use the good old fashioned Cakewalk Tape Sim for extra warmth and a little grit. That sucker is old, cheap, but still really quite good for Bass. After that I use a Waves rChannel for a tiny bit of extra compression and limiting. EQ in the box is slight, depending on the track.
I find that the tone of your bass is dependent primarily on your playing style. It's best to play with the treble boosted heavily to hear exactly what you're doing to the strings. If you can control the tone yourself with +12dB of high boost, you'll be a much better bass player.
Examples:
https://soundcloud.com/paul-graves-1