Bridging and paralleling two 4 ohm speakers = trouble.
First off, when bridging two channels of a stereo amp, it "sees" the impedance of the speaker load as one half of what it is rated at.
In an ideal situation, the bridged amp will see one 8 ohm speaker as four ohms.
It would see one 4 ohm speaker as two ohms.
Two 4 ohm speakers connected in parallel would producr an effective impedance of two ohms on a non-bridged amp, and this is pushing any amp, believe me.
Those same paralled 4 ohm speakers would be seen by a bridged amp as a one ohm load. If you DO try this at least have some marshmallows and long sticks ready so it won't be a total loss.
Final answer. Connect the two speakers in series for an 8 ohm load as shown in your little diagram and bridge your amp which would act like it is seeing a 4 ohm load and should be happy as a clam at high tide.. Actually, I this would be the way I would go. While the power will be a little low for seismic lows, you'll have something to live with and it won't cause any damage.
Sometimes, ya gotta live with wacha got, or, put another way, sometimes you can't get ther from here.
BTW.. .you're not using enclosures that were designed for a car, are you? ...big mistake. It takes a different design for a home sub than for a car sub, unless your listening room has thesame square footage as an automobile. Well, some larger closets might qualify.
...and I still want some of what the Muleskinner is having...