Skunk, is your Warwick cab the Gnome CAB 2/8/4? The one I've pictured below? If so, that is a four ohm cab. The Genzler is 8 ohms. The D-350 could handle the combined load, (I believe it would, Andy can confirm), but the Gnome would get more power than the Genzler. The Warwick site doesn't list an efficiency for the Gnome, but it is possible that the Gnome would end up being somewhat louder than the Genzler since it has two woofers and would get more power. Whether or not to turn down the tweeter would be a matter of taste. There's not a way of knowing what the two cabs would sound like together, you'd have to try the combination, then adjust tone controls to suit. I don't think it would sound "messed up", but it's probably not the ideal long-term combination.
You haven't heard the BA-10-2-S2 cab yet. It's not going to blow the roof off the house, but they get *quite* loud for their size for a single cab. A lot will depend on your playing style, 5-string vs. 4-string, and the other musicians you plan on playing with. If you are reasonable about things like not maxing out the volume controls and how much pure low-end you want to hear, the cab is very capable. You might not need to use a second cab.. but there are variables.
Gnome: Power handling 200 watts, Frequency range 70 Hz to 19 kHz, Dimensions (H x W x D) 21 21/32" x 10 15/64" x 12 13/64"
Genzler: Power Handling 300 watts, Frequency Response: 48-20KHz, Dimensions (H x W x D) 13″ x 15.5″ x 15″
As you can see, the Gnome would probably need to be on top of the Genzler due to the depth difference. As a tall cabinet, dimension-wise, how well it would stay on top of the slant cabinet while playing loudly is hard to say.
If you've got the bucks, buy the Genzler and try this combination out. You sound pretty convinced that you want it. When you get it, since you are used to the Warwick, it's safe to say that you'll be quite impressed. Then start saving up for a second 10-2
IF you need it.
View attachment 5131401