Looking for a warm sounding amp or integrated with a torodial transformer

Without spending too much money I'd start with AudioQuest Type 4 speaker cable, the Rocket 33s are more detailed but not as warm. And from the DAC to the Sphinx, I would use a Kimber PBJ. I might suggest a Cardis 300B but that might be too warm and kill some midrange. If that doesn't get you there, different loudspeakers would be my next suggestion. 

I tried AQ type 4 but preferred the rocket 33, I found the type 4 to be more detailed and not as full in the midrange and bass. I've been looking at and reading about the pbj's I've read that they are a bit light weight in the lower registers but if they can add some more warmth I might give them a try. I'll look into the Cardis. 

Anyone have any recommendations for a warm sounding amp with a torodial transformer? 

I had the 1st Sphinx and didn’t care for it. I had at the time a 20 year old Odyssey Stratos that had been through hell and was in a box and traveled all over the world with me. I pulled it out of the garage in a Michigan winter and duct taped one of the speaker leads on because the connector broke off. Immediately soooo much better!! Warmth dynamics articulation. I listed the Sphinx the next day. Sold very quickly. I was not impressed in my house with my speakers. 

Here are a few of the warmest sounding amps  that I’ve owned that use toroidal transformers. Each had their strength and weaknesses. After trying these as well as many others i’ve settled on Audia Flight. Great amps if you can find one.

Primare i30

Vincent SV 237

Wells Audio Majestic

SimAudio i3.3/I5/340i

Older NAD amps

Kinki Studio EX M1
 

Best of luck in your search.