You probably want a real basket..
Also if you are putting enough coals in to get your drum up to temp in 10 minutes, you are adding way too much hot coal. You are putting a 400 degree fire in a confined space and giving it enough air for a fire half its size. The result of this, and probably a poor breathing fire due to the basket you're using, is that your fire is smoldering for a good long while. That's bad combustion, which will give your food a nasty flavor.. You want a fire that is small and burns efficiently. Start with 12-15 briquettes in your chimney.
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Shirley Fabrication 24x50 Offset - UDS - Weber Kettle - WGA - Fire Pit Rotisserie - Shirley-Shagstone Griddle/Wok Cart - Carson Rodizio
2016 Official BBQ Brethren Ribeye Master