More capital = less risk? How could you say that? Logically the risk is always equal no matter how much your capital is. It is also not good to exchange his btc to doge first, unless his btc is on an exchange site already. He can just send the btc from his wallet to any sites as current tx fee is cheap.
Better to choose a site with low minimum deposit and low minimum withdrawal or even with no withdrawal fees. So it wont affect his small winning (if he win).
More balance= less risk is based on theory that you put the bet on same number with equivalent small amounts. Since, you are using a large amount, it increases the number of attempts and thus the probability of winning increases. I suggest one should try these tricks on free websites or with very low amounts and then apply them on bitcoin gambling websites.