I agree with chuckebaby I use a '62 Fender Jazz Bass direct with EQ  CA2A compressor and saturation for excellent bass tracks without amp sims

I use to record a tube bass amp/cabinet all the time. These days I almost always blend a combination of DI, tech21 sans amp pedal and the Waves CLA Bass plugin. The blend and settings always change based on the song. I play either a US Fender P-Bass or a '70's Hofner Beatle Bass.
Mark.

Also, during the mix, I might add a IK Precision compressor/limiter or the IK White LA2A to the summed tracks on my bass buss.

Lynn
Guitar Rig 5 has a number of clean bass sounds.  I use it on all my songs these days.

Me too, there's a preset called "DI" that will get you started with a lovely chewy warm, clean tone.

McMoore11
Hey Kenny.
A lot of session guys bring a flatwound P bass to jobs.  
I am actually building a Franken 59 P bass with Lindy Fralins and LaBella Deep Talkin' flats to go with all my other basses.
Love that sound through a good DI and mic pre.
Best.
Mark.

Hi Mark ,
 
Yes , I love that sound ...
Good Luck with your Bass build . With the specs you mentioned it sounds like your gonna have a real nice Bass .
 
all the best,
 
Kenny

I put GHS precision flats on my Jazzbass. I went for the Jazz over the P for the extra flexibility of 2 pickups and I think I lean towards the mellower tone. I love Jamersons tone also, but after many comparisons, the J-Bass seemed  better fit. I spent a year and half with the stock strings, and when my flats came, I knew they were worth the wait. Completely sits the tone in the mix to my ears.  
 
I also out GHS tapewound nylons on my acoustic. I instantly regretted it, they felt terrible, and rubbery. I was gutted. I persisted with them, and I'm glad I did, the feel and tone started to change and a day later they were like different strings. I love the tapes on the acoustic. Roundwounds seem to bring out a boxyness in the tone, and the fret noise was too much.
 
I practice more with the acoustic than the J Bass. I was worried it was a bit of a foley, but it's turned out to be a wise purchase

Be careful not to crank the bass guitar volume too much. It's better to record a cleaner signal  at lower volume. 

There were five new CA-X bass FX Chains in the August update. Give 'em a try, they're free and you've already downloaded them