If you are allergic to gluten, then you CAN make a "gluten-free" beer using Clarity Ferm from White Labs. http://www.whitelabs.com/other-products/wln4000-clarity-ferm
It is an enzyme that cleaves gluten proteins to reduce them to levels below 20ppm (the minimum standard to be considered "gluten free").
It does cleave hordein, the main allergen associated with barley, so it would stand to reason that you may be able to drink normally made all-grain homebrew using Clarity Ferm, but without knowing the exact allergen that causes you problems, I can't say for sure if you can drink it. But it's worth a try! Try adding some Clarity Ferm to a normal beer, recap it, give it some time at the proper temperature, then try drinking it to see if it works for you. If so, cheers! You can homebrew actual beer without compromising taste!
To clarify the "malt allergy" concern, you need to be more specific than that. Malt is any grain that has been sprouted to produce sugar producing enzymes. If you have allergic reactions to "malt balls", these are made with dairy, barley malt, and flour, so it could very well be an allergy to gluten or dairy that causes you problems. Best to get an allergy test to determine your exact condition.