Subwoofer speaker outputs to increase efficiency

I own a low-power SET integrated. My speakers are rated 87db. The amp doesn't have enough juice to power the speakers well, but I hate to give them up. I'm trying to think of how I can get more efficiency out of them.

I've been thinking about getting a subwoofer (for example, the Omega sub) and connecting it via the speaker inputs. Then run the main speakers from the sub's speaker outputs. 

But I'm not sure that this is a good idea. It seems like this would degrade the sound quality coming from the main speakers, as much as it would help them to play stronger. 

Does anyone have an opinion on this? Also, would it be necessary to use the same type of speaker cable between the amp and sub as the sub and speakers? I've read that cable quality is not a big concern to a sub. But if the signal is then getting passed on to the mains, then it seems like it would be pretty important. 
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Try and find a pre owned zero feedback Ayre AX7 integrated
I think you will be surprised at how much of the sound you are looking for comes from the Zero feedback design itself.
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Well, what a coincidence. The fellow on the thread who raves about the sound with 300b is also using the Cary and also using the exact same tube complement as I am. 
How did you end up in this situation? I considered a 7 watt SET but thought my room too big. Seems like SET is a midrange dream. My current amp has a SET output option. But I stick with Pentode. Thats me though. Your tastes may be towards the midrange magic of SET. Seems like yer going to have to make a decision. Amp, or speaker.....unless you can Bi-amp. Get a separate amp to push the other side. Not sure if that is feasible though.  We audiophools are really a different  bunch aren't we? Most people are satisfied listening to streaming music. We want it all!!. I wish you well in your search.