Sinus infections can be treated without the use of antibiotics through a variety of methods. Here's a detailed answer:

Step 1: Understand the underlying cause of sinusitis
In order to overcome a sinus infection, it's crucial to understand its underlying cause. There are two main types of sinus infections: acute sinusitis (lasting less than four weeks) and chronic sinusitis (lasting longer than twelve weeks). In many cases, acute sinusitis is caused by a viral infection, while chronic sinusitis is often caused by bacterial infection, structural abnormalities, or allergies.

Step 2: Treat the underlying cause
For acute sinusitis caused by a virus, it's best to let the infection run its course. Over-the-counter decongestants and pain relievers may help alleviate symptoms while your immune system fights off the virus.

For chronic sinusitis caused by bacterial infection, antibiotics can be prescribed by a doctor. However, if your doctor is unable or unwilling to prescribe antibiotics, there are alternative treatments to consider.

Step 3: Practice good hygiene
Keeping your sinuses clear of any possible allergens or irritants is important in maintaining sinus health. Some practices to consider include:

1. Stay hydrated: Drink plenty of water and other fluids to keep your nasal secretions thin, making it easier for them to drain from your sinuses. This can be especially helpful if you're prone to sinus infections.

2. Steam therapy: Taking hot steamy showers or using a humidifier in your home can help loosen and drain mucus from your sinuses. However, be aware that humidifiers can also promote the growth of mold or bacteria, so be sure to clean and maintain them regularly.

3. Use a saline nasal rinse: A saline nasal rinse is a solution of salt and water that can help soothe and moisturize your nasal passages. It can be purchased over-the-counter or made at home by mixing one teaspoon of salt and half a teaspoon of baking soda in eight ounces of lukewarm water. A neti pot or a squeeze bottle can be used to administer the rinse to your nasal cavity.

4. Avoid irritants: Stay away from substances that can aggravate your sinuses, such as cigarette smoke, dust, strong odors, and certain food products. These irritants may lead to inflammation and exacerbate sinus infections.

Step 4: Manage any underlying allergies
If your sinus infections are triggered by allergies, it's important to manage them properly. Some steps to consider include:

1. Identify your allergy triggers: Keeping a journal of when and where your symptoms occur can help identify your triggers. Common triggers include pollen, dust, mold, and certain food products.

2. Avoid your triggers: When possible, avoid the triggers that cause your allergy symptoms. For instance, if your allergies are triggered by pollen, keep your windows closed during allergy season and use air filters to minimize exposure.

3. Treat your allergies: Over-the-counter or prescription antihistamines, decongestants, and nasal sprays may help alleviate your allergy symptoms. Be sure to follow the manufacturer's instructions and consult with your doctor before using any of these medications.

Step 5: Consider other treatments
In some cases, over-the-counter medications and home remedies may not be sufficient to manage sinus infections without the use of antibiotics. In such cases, some other treatment options to consider include:

1. Nasal irrigation: Using a neti pot or a squeeze bottle to flush out mucus and debris from your nasal cavity can help improve sinus drainage and reduce inflammation.

2. Essential oils: Essential oils, such as eucalyptus, tea tree, and peppermint, can be used as a natural remedy for sinus infections. Inhale these oils or add a few drops to a steamy bowl of hot water, and breathe in the vapors.

3. Herbal teas: Tea containing ingredients like chamomile, eucalyptus, or ginger can help soothe sinus infections. Be sure to consult with your doctor before using any herbal products, as some may interact with medications.

4. Yoga and meditation: Yoga and meditation practices can help reduce stress and inflammation, potentially improving sinus health.

5. Acupuncture: Acupuncture can be an effective treatment for sinus infections, as it focuses on relieving congestion and inflammation in the affected areas of the body.

6. Surgery: In cases where chronic sinusitis is resistant to other treatments, sinus surgery may be considered. This procedure aims to improve sinus drainage and airflow, as well as remove any structural abnormalities.

Remember, it's important to consult with your doctor or healthcare professional before attempting any of these treatments, and always follow their recommendations. Additionally, if your sinus infection does not improve despite following these steps, or if it worsens, seek medical attention.