ok, heres my take on it
swapping your rook for his bishop isn't necessarily a bad idea. it may not be the best move, but it could turn out beneficial in the end. If you decide to do the swap, this is how I believe you should play it out.

1. pawn to f3

2. assuming he takes your rook, pawn to g2

he will move his rook to safegaurd it from your pawn

3. if he keeps his rook in the h column, pawn to g1 (becomes Queen, white King in check). If his rook remains at h1 or f1 then take it with the pawn. if his rook is moved to d1 or e1, or if he moves his rook to g1, knight to h4.

4. assuming you moved your Knight, these next moves depend on what Adepts does. you would probably want to move your rook to g8

5. if his rook is at g1 (possibly otherwise, as well) and your knight is positioned at h4, Knight to f3

6. By this point there are to many variations to branch them all out. Knight to g1, or pawn to g1 are potential scenarios. pushing for your pawn to become a Queen is a good focus at this point

good luck