I'd use AC coupling.
If your 1.1V reference on the op-amp is out by even 30mV, the output will get pinned to one rail or the other.
The chance that *something* isn't going to vary by a few mV is pretty slim. Your 1.1v reference is tied directly to your power supply and will vary with voltage, but worse, any noise on the supply rail will be amplified by your amplifier. (it would get amplified about 30 times)