The interface I am using here is the Focusrite Scarlett 2i4. If you only need one input there are less expensive options, the 2i4 and 2 inputs and 4 outputs.
I plug my guitar into one of the 2i4 inputs and process it using the Scuffham Amps S-Gear amp simulator. There are other amp sims out there, but the S-Gear is my favorite.
Plug a set of headphones into the headphone output of the Scarlett, start your BIAB track playing and play along, great sound through the 'phones.
Hello Blues,
That sounds nice and simple.
Forgive my noobieness, but you're running the Scuffham amp sim in your computer, right?