Acoustic bass guitar pickup question

I am primarily a upright player, but I recently picked up a inexpensive acoustic bass guitar to use for certain gigs. I am actually amazed at how good it sounds, but I am wondering if there is any type of pedals or processing equipment that would help provide a tone closer to a upright sound.
 
I have only begun to experiment with recording mine, but we’re going for almost completely different sounds :D I have a Seymour Duncan Woody humbucking sound hole pickup and get some different sounds from what I get with the piezo and onboard preamp, so that’s a possibility. But I’m using a pick and bronze rounds with a five string; with the Woody, I can only use downstrokes on the .130 and only upstrokes on the .045 because the pole pieces barely reach across the strings :laugh: I haven’t even tried using a microphone yet.
 
Getting into almost entirely unhelpful hearsay here, but in an effort to bump your post and hopefully attract more helpful responses: my full-time musician buddy in Nashville gets his most upright-like tone from a short scale semi-hollowbody with flats. Other than from an actual upright, of course. I do hope someone more helpful will chime in.
 

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