A push-pull tube design and Single-ended class A designs

Eddy,
Given your speakers, the Cary integrated amplifier would be a more satisfactory match. IMO  the single ended Inspire isn't powerful enough to manage your speaker's load demands. Technically this amplifier is a SEP (single end Pentode)rather than a true single ended triode (DHT). The Inspire is built with cost restrains in mind. It doesn't have premium transformers or an exceptionally stout power supply. It's a nice choice  for very easy to drive speakers however.

Eddy,
Which is better will depend overwhelmingly on your chosen speakers, it really comes down to that. I've been using a 300b SET amplifier for over 6 years and there's no going back. Prior to this I'd use various push pull amplifiers for about 15 years. I've heard many different push pull amplifiers and like everything else there is a hierarchy of performance. 

You'll have to get a SET built  to a high quality standard (output transformers and power supply ) with quality parts. If you couple a SET of this caliber and match it to an appropriate speaker, I believe that you'll be very happy.  I have more purity of sound and naturalness of music presentation than ever before. That's just my experience,superior natural character. 

There's no doubt that you can also develop a terrific sounding system utilizing push pull amplifiers, again it depends on speaker choice and your individual taste and objectives. 
Goodluck, 
Charles, 

  

Hi,
The suggestion of going to a show is a good idea,  you need the broad range of exposure to get an example of what appeals to your ears. Try to seek out higher efficiency speakers  (say 92db and higher ) and higher load impedance (say 6 ohms or above). Avoid speakers that dip to low impedances (especially in the bass region). You can build a system beginning with the speaker  (most common approach )or begin with an amplifier.  I've done it both ways successfully. Either way one is going to have to match the other component. The key to satisfying SET amplifier use is getting a speaker with a compatible load to drive. Take your time, read and go out and listen. Key points for good SET selection are high quality output transformers and strong power supply, these are essential factors. Take away point, steer clear of inefficient and challenging speaker loads. SET will sound exceptionally good with multiple music genres with the right speakers. That's been my experience the past 6 years. 
Charles,