The very best colloidal silvers will absolutely kill Lymes - Utopia Silver has a number of testimonials from Lymes sufferers who are now Lymes free. The same is true for Crohn's, MSRA and many other conditions. The key is that for the toughest illnesses and the systemic ones, you need to take a LOT of colloidal silver and perhaps for an extended time.
Sutherlandia OPC, iodine, olive leaf extract, plant derived trace minerals and oil of oregano along with a very healthy diet and lifestyle, and whatever supplementation it may take to insure you get adequate essential vitamins, minerals and overall nutrition would be good ideas to include as well.
I agree with JAB - get a Silver Puppy. You could probably use a couple of bottles of Utopia Silver to start with and then use the silver from your Puppy. It makes very good silver - better than most commercial products.