Set eggs and yogurt out on the counter so that they can reach room temperature. I don't like to wait so I place my eggs in a bowl of warm water for about 20 minutes and gently warm the yogurt on the stove until it's room temperature to touch.
Gather all remaining ingredients (white rice flour, sorghum flour, tapioca starch, psyllium husk, salt, active dry yeast, honey and oil) except water and place them on the counter.
Place the active dry yeast in a bowl that will hold at least 1.5 cups of liquid.
Combine all remaining dry ingredients (white rice flour, sorghum flour, tapioca starch, psyllium husk and salt) in a large bowl and stir together until fully incorporated.
Heat 1½ -2 cups of water to 110°F-115°F. You want there to be enough water in the pot that you can place the thermometer in and measure the temperature without the thermometer touching the bottom of the pot.
When the water is the right temperature, measure out 3/4 cup of water and add it to the bowl with the active dry yeast.
Add honey to the bowl with the water and the active dry yeast and stir until the yeast is mostly dissolved. There may be a few small granules or lumps even after you've stirred - that's totally fine.
Let the mixture sit for 10 minutes, until the foams vigorously. While it's doing that, it's time to mix up your other ingredients.
In a separate bowl from the dry ingredients, whisk together the eggs, yogurt, and oil.
When the yeast mixture is foaming vigorously, gently add it to the liquid mixture. It doesn't need to be whipped in, just loosely mixed. Try to maintain as much of the foam from the yeast mixture as possible.
Slowly pour the wet ingredients into the dry, about a 1/3 of the mixture at a time. With each pour use a wooden spoon or spatula to incorporate the liquid. Rather than mix intensely, gently toss the flour like it's a salad so that the liquid retains as many air bubbles as possible.
Mix everything together well and cover the bowl with a damp towel. Let the bread dough rise for at least two hours in a warm spot. In the summer I place my dough on our back porch, but the top of the fridge is a good spot, too.
Set a timer for 1 hour and 15 minutes.