Try
iPhone Backup Extractor
Just looking at the website, it appears you can choose which backup file you want to recover from. (See the area circled in red)
If you back up to your computer, you just might be okay. if, however, you back up to the cloud, you may be out of luck.
You can download the free version which will show you what is available, but only allow a very limited amount of items to restore. At least this way you'll know if it will work before you purchase it. For $25.00, it's be worth it to try.
Randy