The issue I encountered is really simple, most fungus simply grows in an acidic environment 

This is not true, and this persistent myth is why I included scientific references in my post. The fact is that fungi thrive in an alkaline environment.  For example this is why antibiotics end up causing Candida overgrowth. The antibiotics kill off the beneficial acid forming Lactobacillus bacteria. This shifts the terrain pH to the alkaline side and the Candida flourishes.

More alkaline formin foods discourage their growth such as vegetables for example.

The "alkaline forming" foods help because they provide fibers that increase the growth of acid forming bacteria, and these acids control the Candida overgrowth by turning off the Candida growth gene. In addition the acidity keeps the Candida in a benign yeast form as opposed to its highly aggressive fungal form, which is formed from acidity.

High mineral waters with large amounts of bicarbonates are alkaline buffers which tend to discourage their growth. 

Actually these encourage  the growth of Candida, especially in the stomach since they neutralize the stomach acid. One of the reasons that the stomach is acidic is because the acidity helps to kill pathogens before they cause problems to the body.

There is more than enough literature even in agriculture in the use of alkaline buffers, such as baking soda for example to discourage fungus growth. 

We are not plants. And using sodium bicarbonate on most plants will kill them. This is why you cannot water plants with softened water containing sodium chloride.

Most fungus simply don't grow if the alkalinity is higher as one of the basic issues. 

This is not true. Read the research I posted.

In fact I have used on occassion a solution of ammonium chloride mixed with sodium cabonate for example, or baking soda to help with eczema, which for me is a fungus problem.

Eczema has NOTHING to do with fungus. It is partially an allergic response due to adrenal dysfunction and partially a toxicity issue from liver dysfunction.

In fact if a skin fungus exist, even a simple solution of ammonium chloride applied would almost instantly relief any itching or skin problems caused by a fungus, ammonium dissociates whenever it is in a water solution thus killing them, but they apparently dissociates more in an alkaline solution.

How ammonia compounds kill pathogens has NOTHING to do with acidity or alkalinity:

http://www.essind.com/FAQ/FAQDN-intro.htm

"How do quaternary disinfectants actually work?

Quat-based disinfectants carry a positive charge. Bacteria, viruses and fungi carry a negative charge. When a bacteria-laden surface is sprayed or mopped with a disinfectant, the charge distribution of the bacteria cell changes from negative to positive. This results in the disruption of the bacteria cell wall and eventual death to the microbe."

A great remedies of hair loss for example is due to fungus issues and this is why a mild borax, ammonium chloride, dilute sodium carbonate is one of my many arsenals in relieving them.

Hair loss has a number of causes. Hair loss from fungal infections is very rare.

In fact if the esophagus is subjected to long term acidity, candida growth becomes uncontrollable

The esophagus is NEVER subjected to long term acidity. The esophagus is kept primarily alkaline by saliva, which is alkaline and we swallow. The only time it is exposed to acids is with acid reflux or when we swallow an acidic substance such as lemon juice. But the pH is quickly returned to the alkaline side. There are beneficial acid forming bacteria that inhabit the mouth and esophagus though that produce traces of acid that control fungi. And as I mentioned earlier the use of antibiotics can lead to chronic fungal infections by killing off these beneficial bacteria causing the tissues to become too alkaline promoting the overgrowth of fungus.

One simple way of determine whether the body has sufficient alkalinity to discourage candida growth is both the checking of salivary pH and urinary pH, where if the pH is below 7, which is acid or less than neutral, candida isn't easily killed. An salivary pH below 7 is fairly common for a candida growth much of it is based on high dietary sugar of both high fats and high sugar.

Salivary pH is a joke.  It does not accurately show the pH anywhere in the body other than the mouth at that second. The pH is the mouth is altered by a number of things including bacteria levels in the mouth, dryness of the mouth, mouth breathing, whether you brushed your teeth recently, what is left on your teeth from what you just ate or drank, etc.