Meat – What are the minimum spices I can use to remove meaty smell

I think you've got a wide berth of possibilities but what's above seems pretty restricted. What you are listing above sounds like a pretty straight-forward Midwestern American chili. It has the features of the standard chili spices, beans and tomatoes, with a nice variety of meats.

• To try to engineer a Russian chili I would expect more indigenous foods.

As @Cold suggests, beets would be great to add for their sugar content. However, there are quite a few American recipes that utilize potatoes, so you might seek those out. Are there other vegetables to substitute that you recall as more native? Other beans maybe? How about caraway, dill, chervil, tarragon?

Vodka would seem like an easy route to go to appease the indigenous aspect, but I don't think it would yield much results in terms of impacting the flavor; especially in the context of the extant chili recipe. Unfortunately, I can't see the benefit of buffeting vodka against the flavors of cumin, coriander, clove, let alone hot peppers. On the other hand, Russians produce some amazing beers (I am a big fan of Baltika), and I would recommend looking into switching to a lager flavor or Imperial Stout as I mentioned above.

But for real, my spin would be to approach this from a Solyanka point of view (which would definitely give you ceiling room to try incorporating Medovukha); or really any of the other amazing cold Russian soups. Or perhaps try to incorporate mini dumplings like Pelmani, mini Kotlety, or use Shashlyk-style prepared meats for the chili. I would also consider trying to get some lamb in the recipe, in particular at the expense of the chicken.

But don't forget, chili is all about what you want to put into it (<-- self-promotional plug); not what the standard template lists.

• The romantic version of the American myth about chili (in particular, Texas Red chili) frequently revolves around Cowboys planting peppers and onions on their most traveled roads. They would be carrying dried meats and, at night under starry skies, use kettles to cook the stew that became known as chili.
• What kind of story of Russian kindred spirit do you want to weave with your chili?

Common noob mistakes:

Cooking things too long. Meat dries out when it's cooked to too high an internal temperature. That's the whole thing, and it's true no matter how you cook something. If you like your meat to be completely devoid of pink inside, it will be dry. No avoiding it. Find out what's a good temperature for the doneness you desire, and use an instant-read thermometer to find out when you get there. You will also find that some cuts of meat want more cooking than others. A skirt steak wants hardly any cooking because it dries out easily. A New York strip, with good fat marbling, can withstand more cooking because it has that nice fat to keep things moist.

Cooking with too much heat or too little. When the heat's too high, you burn the outside before the middle can get to the temperature you want. If it's too low, you never really get a good sear on the outside, and miss out on much of the grilled food experience. And you'll need to learn to tailor your heat to the needs of what you're cooking--fish typically needs less than chicken, which needs less than beef or lamb.

Putting the meat on too early. You need to wait for the charcoal to ash over and stop flaming. If you don't wait for the coals to get right, you run a much greater risk of flare-ups and scorched food, not to mention off flavors from unburned wood or fillers in your charcoal. This is a non-issue with gas grills.

Not preheating the grate. You need to put the grill grate over the coals as soon as you can so it preheats well. If your grate isn't preheated, you won't get grill marks, and your meat is more likely to stick. You need to do this if you have a gas grill too--maybe more so, since they typically don't get as hot.

I'd recommend that you find a basic book about grilling. Any of Steven Raichlen's books will give you the general tips on how to do things. I'm not wild about his overuse of rubs and sauces--I think they're totally unnecessary most of the time--but he does know his way around a fire and a grill grate.

However, if you want your meat well-done, be prepared to eat a lot of dry (and likely tough) meat. Your only option at that point is to switch to low-and-slow techniques that cook things like pork shoulder for a really long time at a low temperature (traditional barbecue). The meat gets fully cooked, but because it has a lot of fat and connective tissue to render, retains a moist mouthfeel. But this isn't grilling, per se, and takes many hours.