Being "ignorant" is better than blowing up your amp... so that would be highly intelligent.
If both of the cabinets are 4 ohms, then running them in series would give you the sum... 8 ohms. As Don says, this will reduce the overall power output, but you probably wouldn't notice the difference.
The Beta Lead is rated for a total of 4 ohms, not 4 ohms per output jack. If you were to plug in two 8 ohm speakers, you would use both of the jacks but still have the total of 4 ohms (two 8 ohm loads in parallel gives 4 ohms).
Your 2x12 is wired in parallel with two 8 ohm speakers... therefore you use one jack and have the 4 ohm total. Plugging in another 4 ohm speaker would give you 2 ohms.
The switching jack that Don suggests, could be done. You would have to dedicate one jack to be the "normal" output, and the other as the "series" output. It would be possible to install two switching jacks, so that both would be "normal" and the other one be the "series" output. If you are the only one that will ever use this amp, that might be an option.
I would suggest wiring up a special cord... one end would plug into the head, and the other two ends would plug into the speakers... and would put them in series. That way, you wouldn't be changing the normal wiring of the amp.
You could also swap out your 2-12" speakers for two 16 ohm speakers wired in parallel for 8 ohms, and put an 8 ohm 15" speaker in the other cab. Then you could plug both in to the existing parallel jacks for a total of 4 ohms.