One receiver for both ht and 2 channel (diff speakers)

I think you can, just put your 2 channel system on zone 2.  But you'll be better off to have a better amp for your 2 channel system.  

Not sure why you want to use different speakers for your HT system.  Your 2 channel system will likely have better speakers so it is common to use them for the front 2 channels of the HT system.  To do this is simple, you just need to take a pre-out signal for the front 2 speakers from your HT reciever to a seperate input on your 2 channel amp.  You just need to make sure your 2 channel amp has an extra input.

If you have a different reason for doing it your way I apologize for the distraction.

Jerry

I'm not really sure why you want to get this complicated?  It's quite easy to use the same floor standing L and R speakers for both, especially since you are going to be using the same receiver. 

Yeah, try HT with your 2-channel speakers and see how it works.  Also, adding a good stereo integrated amp as @carlsbad2 mentioned above will up your 2-channel performance.  If you’re not willing to incorporate a stereo amp I’d recommend an Anthem AVR.  Best of luck. 

Been there before and unless you are okay with the quality of sound, even a high quality AVR offers, then you might consider going the home theatre bypass route.

That way you can use the front left and right speakers for both HT and two channel.

Only requirements are that the preamp or integrated amp will need to have the HT Bypass option and the AVR will need to be able to "preout" the left and right fronts independently.

There is plenty of information available online and there are a multitude of amplifiers that offer HT bypass functionality.