No. OPA827 only comes in SOIC and MSOP (which is even smaller than SOIC) packaging. It is a single channel opamp so you must get the SOIC version and mount it on the adapter.
It is not an bassy opamp, as far as my listening go. I'll probably categorize it as being more of a clean and clear type of opamp with a slightly sweeter mid range, quite detail but at the same time not edgy. Kind of like a smoother AD8620 or AD797, with a bigger soundstage. Overall I'll say it is still fairly balanced.
Yes, AID is the SOIC version and the right one to use. The other is MSOP version - you can still use it, but it will be much more tricky to solder as it is smaller.
OPA827 is recommended by TI as OPA627 replacement. For the most part, I don't think the two are very alike in sound signature, but definitely on par on SQ.