Need new driver for HT sub....help me pick

[ItalynStylion 10+ year member]

I've built a nice HT sub that I've been playing with for a while now and have been pretty happy with. ONLY knock I have against it is that I feel like the sub (driver) isn't up to the duty some times. So i've been pondering a different driver. My setup is as follows....

-Elemental Designs LT/350 plate amp

-Elemental Designs 13oV2

-3 cube 3/4" birch enclosure

-Single 4" port tuned to ~24hz

My problem is that I feel like the sub bottoms out when I really crank it (like playing rap at the party we just had)

I realize that 99% of the time you should build a box to the speaker specs but this enclosure is a piece of furniture now and it would be a shame to let go so I want to keep my same setup and just replace the driver with something else. I can reduce the volume of the box a little by attaching something to the inside of the box to displace air but I would generally like to keep the volume right at what I have now.

Basically, I need something to match up to this....

-350RMS @ 4 ohms (NOT 2ohm STABLE) so D2 or single 4 coils only!

-3 cubes ported for home theater use and some music

-12"

-High excursion and wont bottom/freak itself out

What type of stuff should I look at?

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[ItalynStylion 10+ year member]

Pics of the finished sub. It's a down firing sub that has feet on it now so there is plenty of room between the cone/port and the floor.