Drawing by underpromotion

Anyone know of any chess positions where promoting a pawn to a queen would lose, but to a bishop or rook would draw? I've seen puzzles where underpromotion is necessary to avoid stalemate, but wondered if it is possible to force a stalemate by underpromotion.

There are positions where a queen doesn't win but another piece will. See Saavedra! ;)

PS: How should a queen lose and a rook draw?
PPS: It can work with a knight though.

Is that creative enough?

Edit: Sorry, it's only a underpromotion to a knight not a bishop or rock.

That is actually nice.

Here is a multiple stalemate combination:

How should a rook or bishop draw and a queen lose? This can never happen because the queen has a built-in rook and bishop. They can lead to stalemate though.

There are two possibilities:

-queen draws due to stalemate and underpromotion wins
-queen, rook, bishop draw or lose and knight wins or draws

These ugly compositions given above hurt my eyes. Tons of useless material, we call them Nachtwächter (night watch).

@dorhinj1 I have an example for underpromoting to a rock:


Especially for @Sarg0n I added a few extra pieces. :)

Yeah, sure! Self-stalemate, whereas a queen prevents this. All-right, understood and agreed!

And in addition an underpromotion to a bishop:

Here is beautiful game which suits your need:

http://www.chessgames.com/perl/chessgame?gid=1253800

The position is after move 60, white plays Qe8 but Black responds with Qb7! The idea that if white promotes to a8=Q Black plays Qf7+ ! Qxf7 and it's stalemate despite white having two queens! White sidesteps all this with a8=B! and goes on to win..

It's not a draw like you wanted but it's awesome nonetheless..

EDIT: Just found another game which is closer to your requirement, http://www.chessgames.com/perl/chessgame?gid=1372422 note that after 79 Nf4 White is threatening to fork whatever Black promotes to and win(?) but Black promotes to a knight! thus stopping the fork and drawing the game..