Fortunatly you have several options still.
- Contact Nintendo via their website and try to locate a repair centre near you, or they may be able to get it sent off to be fixed.
- Look on eBay, there are lots of these being broken by small children and you could salvage a screen from one of those.
- You can find places that specialise in console repairs that can do the job for you also.
The good news for you is it's not the actual screen that is damaged. Threre is a touchpad that sits ontop of the screen that you are really pressing on, so you may even be able to find just the touchscreen and replace the one you have.
The only bad thing about the repair is I cannot advise you to try it yourself unless you are very electronically minded. There are bits inside that are extremely sensitive and can snap with the slightest amount of pressure.
Hope that helps you along the way =)