Would be shocked if they played Go Your Own Way as one of the two songs. I reckon there would be more chance of them playing a couple of Billy Burnette-era tracks...
While I expect Go Your Own Way to be a concert staple for the new line-up (and probably be the only true "Lindsay" song Neil sings on the tour) I'd be very surprised if the two songs weren't one each for Christine and Stevie (Eg. Dreams, Over My Head, Gypsy, Everywhere, Landslide, Love In Store, Rhiannon, etc.)
Then again, I wouldn't entirely rule out The Chain or Don't Stop.
If I had to guess, I'd say Neil will also sing Lindsay's parts on these two songs at the concerts. Have to remember though that Christine McVie wrote Don't Stop and The Chain is truly a band song.