bitflipper
Don't dismiss the possibility of playing bass on a keyboard, even if your keyboard skills are minimal. As a bass player, you might be surprised at how well you adapt. Just as drummers can be the best drum sequencers, bass players quickly figure out how to translate keyboards to believable bass parts. You don't have to be adept at the keyboard. You'll be recording MIDI, not audio, and can therefore correct any mistakes before rendering. You can record the part at half speed if necessary. In the end, you'll have a lot of fun trying out different sources for the audio such as synthesizers and sample libraries, and layering multiple sources for effects you'd never achieve with your bass.
being a bass player at heart this IMHO is the best advice given here and completely reflects my experience, yet I would scratch the part about playing half speed. I'd do the other extreme i.e. no quantizing at all (it's bass, so this essentially is a rhythm track). I would use a cost effective (trying to avoid the word "cheap" here) keyboard that you like for playing bass lines (it's most likely not the fully weighted piano keyboard), enjoy the fun of playing bass lines with different sound sources/synths and play until you like the bass lick, then record and comp. Stay away from quantizing and don't spend too much time in the piano roll editing (for bass I usually limit myself to deleting stray notes, although with some good bass VSTs, these almost silent stray notes actually add some character).
using this approach I have actually developed some bass lines for songs that I wouldn't have playing the real bass, but they translate well to the instrument i.e. they sound really cool and are indeed fun to play on the real thing.
BTW, as regards K11, I really like the Rickenbacker emu. That actually makes we want to buy a real Rickenbacker.