BIAB and Partial Mash are not mutually exclusive.
Partial Mash refers to the type of malt you are using. There's Extract (with or without Steeping Grains), All Grain, and Partial Mash. Partial Mash of course uses a combination of malted grain (which is mashed) and malt extract (usually added during the boil).
BIAB is a method of Mashing. It is used in liue of a mash tun. In BIAB you put anything needing to be Mashed in a bag in the kettle (often the same kettle you are going to use for the boil). This technique can be used for an All Grain or a Partial Mash batch.
So it is quite possible to do a BIAB Partial Mash.
- Extract - No Mash Required
- Partial Mash - Mash using a Mash Tun or using BIAB
- All Grain - Mash using a Mash Tun or using BIAB
As far as a "BIAB recipe," honestly there's no such thing. Any recipe that can be done as BIAB could be done using a Mash Tun.