Help me Port this cab! (Kappalite content)

So you want to run a single cab to replace one or two 112XLT's volume wise, and have a warm, punchy tone with more laid back upper mids. IMO, you're not going to be able to get that out of the Kappalites without some fairly precise EQ (read parametric EQ). You may be able to make the Beta 15 work: you'll need to have two 4 inch diameter holes that you plug with open cell foam (makes the cab 'aperiodic'). Then place a 5 inch diameter disc of open cell foam (1/2 to 1 inch thick, or egg crate foam with peaks toward the driver) in front of the dust cap (but not touching). To try it, just pin the foam disc to the grill. The foam ports will open up the bass a little, while the foam disc with tame the upper mids. I doubt that one Beta 15 cab will outperform two 112XLT's, but it will come close to meeting your tone goals. OTOH, a pair of Dayton PA255-8's (10 inch drivers) in your 2.28 cf cab, ported- about 55 Hz) will likely produce the tone you are after (probably with only a little EQ touchup) and have about the same volume as a single 112XLT. You would have to cut out all but a flange (like 1 1/2 inch margin) around the outside, and then mount a baffle cut for two tens. I have not seen your cabs dimensions and so am not sure that two tens will fit. Give the Beta 15 a try first...

I'm not expecting it to replace the 2 1x12s volume wise- I was saying that I have those cabs for when I need to be loud. The 115 would be for lower volume stuff. I would be happy if it were as loud as one of the Edens.
 
I'm not expecting it to replace the 2 1x12s volume wise- I was saying that I have those cabs for when I need to be loud. The 115 would be for lower volume stuff. I would be happy if it were as loud as one of the Edens.

Thanks for the clarification. I think that the Beta 15A would come pretty close, run aperiodic, as described above (including the dacron fill and the HF attenuation foam disc.