Pics of your bike, ideally with you on it, would be helpful.
The RS comes with an inexpensive FSA stem (OS-190 6 deg). You can get another one for $23 from Universal Cycles except with 17 degrees and you might consider 10mm longer to keep the reach about the same as you have now.
Since you're potentially willing to spring for a new bike I would consider doing some upgrades such as a lighter, stiffer alloy stem and carbon handlebars. You would look more like your friend's bike if you installed a 3T Arx stem and Ergonova team bars. If you can do the work yourself this is under $400. Next big upgrade for your bike would be wheels. There are many, many threads here about good wheels based on your weight and budget.