Mark Trek do a short Stem
that has a rise about the same as shown in Colins picture. The plus being it will match the rest of the bike.
Turning the stem over will give you a bike more height but in my experience this does not make that much difference in the reach.
But if you should wish to try this (nothing to loose) and you will learn something about the bike (a gain). I have put together a basic scheme of work.
1/ Slacken off the bolt at the top of the forks. Position the Allen key and remember that position (do not remove). Slacken the bolt by one full turn, then tighten to the same position. Remember the effort needed to tighten the bolt to the same position.
2/ Remove the bolt and the Top cap Then look inside the Stem and you will see a Star shaped thing that the bolt goes into (the Star Fanged Nut).
3/ If you look carefully you can see that this is inside a tube (the Forks Steerer Tube (1 1/8 on this bike).
This tube should be about 1 to 2 mm below the stem. This distance is important if you change the Stem. Try to get the same distance as the original setup if you change the stem.
4/ Turn the Top Cap over and you will see that it has a step in the bottom surface.
5/ Slacken off the 2 bolts that clamp the stem around the Steerer Tube.
6/ Slacken off the 2 or 4 bolts (the Face Plate) that hold the stem to the handle bars (31.8mm on this bike). Do not remove yet. Work out the best way to support the handle bars when the Stem is removed and remove the Face Plate bolts supporting the Handlebars.
7/ Turn the stem over and replace all the bolts very very loosely. Position the Stem in the correct forward position then tighten then Top Cap bolt (to the force you remembered).
8/ Tighten the bolts that clamp the Stem to the Steerer Tube.
9/ Position the handle bars centrally in the stem and at the correct angle to the floor and tighten all the Face Plate bolts equally (work your way around the bolts turning the the same amount each time)
10/ Then check the front Forks do not move by applying the front Brake and rocking the bike back and forth. If they do move Slacken the bolts that clamp the stem and tighten the Top Cap bolt slightly. Rock the bike and check for movement, if there is non tighten the Stem clamping bolts.
If the Stem is changed then the height of the steerer tube BELOW THE STEM could change. If this happens you will need different thicknesses of Spacers (rings under the Stem) to get this to the same as before.
I realy do hope this make sence.