The E7 is the better DAC definitely, the Asus Xonar DS upgraded with LM4562NA (same thing I'm using) is the better amp, power wise. The WM8776 is mostly a surround sound CODEC, and not a stereo DAC. Both are of relatively high quality, former being better. The only step up from there is the Wolfson 8741 which is used on the high end DAC's and integrated setups. I'm aware of some higher end ones like the Sabre 32-bit and others but for the most part, music is in 16-bit/44.1 anyway unless I'm either wrong or you listen to higher quality music than that.
The Essence ST/X series use the Wolfson 8740 DAC (same as E7), but DAC's are just about who's using what 20-60 dollar DAC chip, it's all about implementation and components and the ST/X uses higher quality copper traces and the card is allegedly EMI shielded from computer noise. For 200 dollars it's still very expensive and you can get the same package from a nice portable DAC/amp. For instance the E7/E9 combo would be better, iBasso D4 w/ rollable opamp would be about the same as well if you don't feel like carrying two things around.
The LM4562 when implemented according to spec can drive 600ohm loads quite easily according to their spec. Considering this is a semiconductor company and this stuff is used in engineering samples and stuff, they can't exaggerate and most things are underrated to be safe.
For the money though, I think a desktop dacamp (I'm going to start a trend of making one word) usually promises better returns, but they're large, require being plugged in, and the entry point is slightly higher.
The X-Fi Titanium w/ LM4562 plus the nichicon 2200uf power filter cap I'm running is pretty silent. I know there are better DAC chips than the ancient Cirrus Logic I'm using, but for the most part I'm getting a very clean signal with a very low noise floor. I don't run excessively hard loads on it, nor did I bother upgrading the OPamps for the other channels, but it's a pretty solid setup rivaling some more expensive desktop units. The DACMagic I compared it to had a better DAC section for sure, but the amp section is lacking (then again thats not it's primary purpose) so 20 dollars worth of parts and tools ended up being quite worth the trouble?
I'm also the owner of an iBasso D3, it's actually a pretty strong little portable amp, and it's pretty as hell and it's held up quite a bit over the years, but power wise, it's not going to be able to drive crazy loads like the M-Stage can. We shouldn't even be discussing portable setups haha.
Did you know that you can get LM4562's for free as a sample? PM me if you need help doing that.
I'm friends with someone who owns the Mini-i and M-stage combo. For him to be any happier (we've been doing some shopping), he'd have to grab a Burson 160D, Grace M902, or some other $1200+ setup. This isn't including the tube preamps that he's been so keen on these days.