Our solution: we bought new recliners and a queen-size sofa bed. The recliners sit in the slide across from the tv, and the sofa bed is at the rear. I measured the new sofa and it's approx. 37 inches front to back and 75 inches in length. We do have to switch the sofa and recliners around to bring in the slides because the sofa is just too deep for that area for the slides to clear. We have to remove the backs of the recliners, but that's a simple thing. Also, when the sofa opens out into a bed, it just clears the u-shaped counter.
We looked around with no success for a sofa that was 30 inches or less, no luck, and this works much better for us any way. Comfortable stylish sofa seating and queen-size bed for guests if we need it. I can't help you with the make of it, sorry. I'd suggest you measure VERY carefully the space you have available, measure VERY carefully the furniture you're considering, because there's just no room for error. Also consider the size of the door it has to come in through - the delivery guys just barely got it in, even had to bend a portion of the frame of the door ever so slightly, but get it in they did, and the frame bent back no problem.
Hope this is of some help.