Yogaprof - I'm a celiac and crohn's so not really the experiment person you are looking for, but I can give you a little gluten-free information.
You don't have to eat carb-free to eat gluten_free if you are willing to spend the money on the products. Most health food stores and a lot of major grocery chains are now carrying many gluten free products in their health food section. You can get cold cereal, cookies, crackers, cake and cookie mixes, brownies - haven't found a brownie mix yet I don't like, pretzels, breakfast bars, pasta - some of it is good and some of it is not, so be careful. Another good option is Blue Diamond Nut Thins made from almonds, hazelnut, pecan - although I don't know if they sell them everywhere. And there's always potatoes and rice. There are many online stores for gluten-free products and mixes too if you decide to stick with the diet.
I've been gluten-free for 5 years because I have celiac and you can find it in the strangest places. Fortunately a new labeling law passed in 2006 has helped tremendously. The only thing not required to be listed on US labels is barley malt, but many products are putting it there anyway.
Trying the diet for a month is a good idea. As a celiac they have you try for at least 3 weeks to see if it makes a difference.
As we know though, high-carb is not good for crohn's and I can attest to that from experience. I think people assume gluten-free is cutting out all the grains/starches, but it doesn't have to be, so be careful. Also, the gluten-free products are much higher in calories and often low in fiber.
That said, cooking low fat, low carb and whole foods for myself is what makes me feel the best.
It will be interesting to hear your results after a month - good luck!