Where are you located.
If there isn't anyone nearby that can help there are various options for getting your data.
KyroFlux is the only solution on the market at the moment. (Forgot about the SuperCard Pro)
There's various options depending on whether you have a suitable PSU and cabling already.
http://webstore.kryoflux.com/catalog/index.php?cPath=1Floppy drives are pretty expensive there so it might be better to look elsewhere. I found another store sell new and used internal drives for more reasonable prices.
http://www.floppydisk.com/drivesOther options were Catweasel MK3 or MK4 PCI cards which are no longer available but it may be possible to find them second hand but could also be pricier due due to the rarity and extra functionality.
Armiga could have been another option but the floppy disk version isn't available at the moment but it could be worth contacting the people behind it.
http://www.armigaproject.com/shop/If you have access to an older PC that can support 2 internal floppy drives it's also possible to use Adfread.
http://www.winuae.net/download/If the disks themselves are troublesome then you can open the cases so you can clean the disk surface using an isopropyl solution.