Have you checked out this site:
Food For Life makes a gluten free soy free vegan bread. If you click on the "convenience food" tab on the above site, the author lists some commercial products that are both gluten free and soy free.
I have done gluten free soy free vegan for periods of time when my thyroid was getting out of control. It is not easy but it is not impossible. It does take some planning and it really is hard to eat out. Where I live there are fortunately several restaurants that offer gluten free soy free vegan entrees, but not many.
Smoothies and soups are probably going to be much easier on your stomach than other foods. Potatoes and sweet potatoes are also less high fiber than other grains, and white rice flour is easier on the stomach, though not the healthiest. I make a gluten free soy free vegan banana pancake that I swear is one of the best pancakes I have ever made. My family thinks so too, and I have made MANY different types of pancakes. Here is the recipe:
1 c white rice flour
2 t baking powder
1/2 t salt
1 T sugar
a pinch of nutmeg and a bigger pinch of cinnamon
1 T veg oil
1 c plant milk or water
1 overripe banana
Mix all the dry ingredients. Mash the banana with the milk and oil, then add to flour mix. stir well to combine, and let sit about 5 minutes while you heat up your griddle (or cast iron pan, or pan, or whatever). Cook as you would pancakes, dropping about 1/4 c at a time and wiggling the pan to spread. Cook on each side, then spread with Nutella (or peanut butter, or syrup, or anything) and eat hot.
Cooking your vegetables, especially steaming, will help with digestion. Blending leafy greens and other vegetables and fruits in a smoothie will also break down some of the fiber for you.
Go easy on the beans until your body gets more used to them. It is very common to suffer some crampy gas when you introduce more beans, fruits and veggies and cut out lower fiber higher fat foods like meat and dairy and eggs. Focus more on nut based foods and recipes, and eat peanut butter or almond butter or sunflower butter etc, which all have a lower carb content. Soaking and then blending cashews with water and stuff like lemon juice or plant milk and spices etc can make some pretty awesome sauces, dips, and spreads. there are also commercial mayonnaise like Just Mayo that is both soy and gluten free. Most plant milks are, and juices. Daiya and SoDelicious both make soy free gluten free vegan yogurts. There is even a hemp milk yogurt out there now that is soy and gluten free.
I sometimes eat a simple breakfast consisting of a mashed banana, canned pumpkin, and peanut or almond butter. This would be a lower fiber breakfast that might not be so hard on your digestion.
Gluten free pastas like quinoa pasta or corn based pasta or brown rice pasta can also help keep fiber intake down a bit. That site in the link I provided has some sauce recipes you could add to the pasta.
I am one who rarely eats out, and I can attest that eating out always upsets my stomach, though low fat simple whole vegan food tends to be easier for me. I couldn't tolerate tofu for a long time when I first went vegan, and due to being on thyroid meds I could not consume soy too much, so I was soy free for a while. My Mom eats gluten free and I often make meals for her when I visit, and I had heard at one time that a gluten free diet might help thyroid issues, hence trying soy free gluten free. It really didn't make a lot of difference at all for me, except that my thyroid balanced out a bit. I was eventually able to start tolerating tofu when I started with sprouted tofu a little here and there. I still keep my soy intake down a lot, but I probably eat a lot of gluten now. I kept a notebook full of recipes for when I was in my gluten free soy free days, and it helped a lot to be able to plan and know what to eat. Eating out is harder but not impossible. Most restaurants will work with you at leaving out some ingredients or adding others.
As a last resort, raw veganism is totally soy and gluten free (though I have seen them rarely use miso), but the high fiber content might be an issue if you have IBS. I believe Kiwibird who used to post here cured her Crohns disease by going all raw.
You have my deepest empathy. I know digestive issues are not fun! I had endometriosis for years and it caused me to have terrible digestive isssues for a long time. For me, cutting out dairy really made a big difference. Sometimes it just takes a while to figure out what works. Don't give up! HUGS