This has been an issue for me & I eventually turned to herbs & suppliments ~ for my own use I created a file to keep all the little bits of info I came across .. I copy it in here, in case there's anything not already mentioned that might be useful.
Specific to your question about H. Pylori:
Garlic appears to be very active against Helicobacter pylori.
Ginger is an antibacterial, it can work against ulcers caused by Helicobacter pylori.
Oregano Oil, chronic gastrointestinal complaints and fatigue, Antiviral, antifungal, antibacterial and in studies was "extremely bactericidal" [I can't find my specific reference right now, but I am sure that it is effective against H.p.]
Echinacea, Pau d’ arco, grapefruit extract, olive leaf extract (most of these require at least 2 capsules 3X per day), caprylic acid, garlic extract and enteric-coated oregano oil.
Olive leaf has been shown to have remarkable effects on a host of infectious diseases and other conditions. Among those documented are Chronic Fatigue Syndrome, diabetes, AIDS, hypertension, parasitic infestation, ulcers, psoriasis and fibromyalgia. Olive Leaf: prevents intestinal muscle spasms, and has a strong effect against not just viruses, but bacteria and parasitic protozoans as well.
Cat's Claw: Patients with gastritis who took the alkaloid-rich root tea were symptom-free after only three to eight days including duodenal ulcers [which are now believed to be caused by H.p.]. Some doctors believe that cat’s claw can clear up other deep-seated, hidden and chronic infections, Cat’s Claw has long been used as a homeopathic treatment for intestinal ailments. Uses include: Crohn’s disease, gastric ulcers and tumours, parasites, colitis, gastritis, diverticulitis and leaky bowel syndrome. By stimulating the immune system, it can also improve response to viral and respiratory infections.
Cayenne . It is able to stop the bleeding of stomach ulcers and heal the stomach lining. Similarly, it alleviates the bleeding in Crohn’s disease.
Manuka Medicine: It’s been particularly useful against Helicobactor pyloria bacteria
Goldenseal: is an astringent mucus membrane tonic used for sinus infections, colitis, ulcers and catarrhal conditions. It will improve the mucus membranes throughout the body.
Licorice Root: is helpful for alleviating such ailments as inflamed stomachs, bronchitis, sore throat, coughs, irritation of the bowel and kidney, and indigestion. In Denmark, experiments have shown licorice to be very effective for treating duodenal and peptic ulcers.
Zinc (30 mg per day) is essential for proper immune function.
Vitamin C (1,000 mg three to four times per day) reduces swelling and helps your immune system function better.
.... lactoferrin, a protein found in bovine colostrums. In addition to being effective in controlling H. pylori, lactoferrin has been shown to bind iron. This keeps iron away from cancerous cells, bacteria, viruses, and other pathogens that require iron to grow. Lactoferrin is also believed to activate genes that launch immune response.
Lactoferrin is available through many sources online and in most health food stores. And Probiotics 12 Plus is available from Uni Key Health Systems. For more information, you can visit the web site at unikeyhealth.com. Talk to your doctor before using Probiotics 12 Plus or lactoferrin to address any form of gastric ulcer.
Patients with ulcers prompted by H. pylori infection will find plenty of useful information at the web site for the Helicobacter Foundation: helico.com.
19/06/2008- Cranberry juice or probiotics clear the stomach of children of a bacterial strain known to cause ulcers and cancer, new research reports.
Results from the multicentred, randomised, double-blind, controlled trial involving 271 children with Helicobacter pylori infection, published in the journal Nutrition, suggest that drinking cranberry juice or taking Lactobacillus johnsonii La1 (La1) may eradicate the bacteria. http://www.nutraingredients.com/