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. 
rfprice
I can relate to looking for a creative solution in order to have it all and then realizing it was too left field.
@rfprice

Now we know your integrated is a 300b set, what is the speaker?
Is it bi-ampable?
The integrated has pre-out?

The amp is the Cary 300b. It has no pre-out. The speakers are Opera monitors from 2006. They have dual posts, so I guess you could bi-amp each one. 
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.
 You may even discover some advantages with it and the Choices it allows with quality or performance & speakers you can now drive.
 Best,
 JohnnyR 
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