Some of the best bassists in the world use a pick. I think Les Claypool does, if I'm not mistaken. I'm pretty sure Geddy Lee (Rush) does, too.

You'll have to remember that bass and guitar, although they look similar, are two very different instruments. You can't really pull the same tricks both ways. Your job will be to set the groove, not to display speed or anything. Even virtuoso-type bassists (e.g. Geddy Lee, Raskolnikov ;)) will always keep the rhythm pounding while doing some crazy stuff.

Personally, I prefer my bass to be more John-Paul Jonesian; nice, tight groove, and knowing exactly when to break it out with some ear-pleasing fills and runs. But no root-note sleepy-time bass. Even Adam Clayton (U2) fits that description. I've yet to find a bassist that will do all that, though.