Good integraded w/ over 3 optical and a USB input?

Yes, a DAC with multiple optical inputs and a usb input, connected to an integrated amp would do the trick. However, I'm also not familiar with any DACs that have 3 optical inputs as well as a usb input. There might be one out there, but I'm not familiar with it. You may be able to find a DAC with optical input and usb input and then add an optical switch connected to the optical input on the dac, in order to get the 3 needed connections. Otherwise, you're going to be swapping cables......

Peachtree Audio NOVA integrated has USB, 2 optical and 2 coax.

Check out the Peachtree Audio Nova integrated amp for $1200. Killer sounding new ESS 9006 Sabre DAC. Great sounding hybrid pre-amp section with a switchable in or out 6922 tube. It's also a Headphone amp and has pre-outs for a subwoofer, to add a larger power amp or to bi-amp. It has 3 analog inputs (1 with a HT bypass), 4 digital inputs (2 Coaxial & 2 Optical) and 1 USB input. You can buy Coaxial to Optical adapters for your other Optical inputs.

Several of my speaker customers are using the Nova as their DAC & Pre-amp and are very pleased with it. It also sounds very good with its 80 watts per channel Mos-Fet amp! Google it for more info & reviews, Music Direct carries them.

Nad M2 i think has most of that stuff.

Harman Kardon's HK990 has 2 optical/coax digital inputs. No USB.