You must understand that your question is frought with peril. Let me give you the simple, encouraging answer followed by the complicated, discouraging one. All from my opinion and perspective, of course.
Would it work? Is it worth trying? Yes and yes. There is a school that I used to take ensemble workshops in. They have a number of 15" electric bass combos there. While I would not buy any of them new for my DB gigs, I frequently used them in class rather than bringing my amp. They're fine. Just like my DB amp, some nights I couldn't get the sound dialed in and some nights, I just plugged in and went. If you need to be louder, you will be. I say Ray Brown play a gig with an SWR WM15 once, and of course, he sounded better than great. I'm sure that through that amp, I would be very unhappy with my sound.
The pickup will influence the sound signifcantly, I would suggest more than the amp. Check out a few people live if you get the chance, see what kind of pickups they are using and how it sounds to you. I set at a festival last weekend and watched local guy after local guy come up and play through the same amp and all of them sounded different, mostly based on the pickup. What's the "best" pickup? Research the archives. We have not come to consensus on that and I don't think that question will get you an answer you can use. Wing bridge pickups will have a common sound, mics will have a common sound and set of issues, body-type pickups like the Realist will have a common sound.
Now, the discouraging answer. You said something like "will it capture the natural color of my bass?" Answer: No. It will sound amplified. If you got a 12" or 10" or 2x10" amp, they would all sound different and you'd like some more than others, but none of them would acoustically reproduce the acoustic tone of your bass. For that, we start chasing high dollar acoustic specific head/cabinets or combos, layer that with pickups, mics and pre-amps and I'll go out on a limb and say that 90% of the people on this list would say that they're somewhat satisfied with their amplified sound, but that it's not an exact amplification of their acoustic sound. 10% would claim that their set up is "exactly like their bass only louder" and 99% of everyone else would either outright disagree with them or say that they had tried that same combination of equipment and didn't get the same result.
My point? Amplify if you need to. Start with what you have and go from there. Adjust your expectations so that you don't end up falling down the rabbit hole that many of us are in. Some nights, I'm very happy with my amplified tone and some nights, I can't stand it. In addition to all of the things in your control, the room, the band, how many people are in it, etc will all change your sound.
After a few years playing jazz with darkish arco strings, I'm using Spirocores again. I've decided that the arco/hybrid strings produce much more faithfully the tone I am going for, but when playing with drums, keys and horns, the Spricores sound better. A year from now, I'll have gotten over it and no longer feel that way.
So to sum up:
Good news: Sure it will work, go for it.
Bad news: The perfect alternative is a moving target and can get very expensive. Spending $1,000 now wouldn't likely get you there on the first try.
All my opinions, of course. If you had already fallen down the rabbit hole, I would have given you something different.
Troy