batsbrew
adat IS probably still the best choice.
mixers are limited typically,
otherwise everyone in the world would use them,
and apparently they don't
I think the major issues with home recording using mixer/interfaces is the scale of requirements. If just two or three people are concurrently recording, then a typical 8-channel interface and some work within the DAW to handle headphone mixes is fine. When there's a 5 or 6 person band, especially when there's a drummer, then a mixer really shines as a better approach to realtime monitoring for headphone mixes, metronome distribution, and managing multiple playback speaker pairs.
The cost point for ever-higher input channel counts and a nice set of effects in a mixer has now solidly stepped into the range of traditional interfaces. I write this from the high channel count perspective of using a Midas M32 for my interface. As I read the OP's requirements, the first product that made sense to me for his requirements is the Midas MR18.
If you're happy with software-based controls, as you would generally be using with a traditional interface, then there's plenty of function and quality to be had in the MR18, and you're not paying for a built-in display screen and motorized faders.
I read though some other posts in this thread (too lazy to build a second/specific response) and would like to point out that the additional latency through an ADAT preamp into an interface is typically in the range of 15 to 50 samples depending on the product. To cite some specific examples, I had been using the ADAT output of one of my Audient ASP800's and tech support confirmed that the XMOS had 2-samples of delay, and the PCM4204 chip had 37-samples for a total of 39. My ART TubeOpto 8 has 32-samples delay in A-to-D function, and 22-samples delay in D-to-A. With that data you can convert to specific values of fractions of a millisecond depending on your sample rate.
As for whether the Behringer preamps are 'budget' preamps, it's a fact that the quality of Behringer's new products hasn't been able to fully insulate them from shame of some of its long-ago sins in the audio world. My website shows some specific test results that compare a few performance aspects of the X32 preamps to the M32 preamps. Overall, the essential message is that you can make a good recording with the X32 preamps as represented across their newer (XR18, etc) product line. I admit that part of my decision to move from the X32 to the M32 included the weighting factor of the brand-sensitivity of my clients. Nevertheless I regularly encounter X32 products in live venue situations, and I'm absolutely happy to use them because I know that I can get good recorded results.
As I wrap this up (my oatmeal is getting cold) let the record show (ha ha) that I've also done both live and studio recordings with the PreSonus mixer/interfaces. If I was choosing a mixer/interface today, the short list (in alphabetical order) would include the Behringer, Midas, PreSonus, and Soundcraft product lines.
Enjoy the process.