I have used drip coffee machines in the past, they can brew a good cup but you have to make sure that your basket isn't stained and wore out. I don't know if it was all in my head but I thought that I tasted a flavor change when I switched to an unbleached filter. Once you have that straight, it is all about the machine! I would think that some brew a better coffee than others. It should be in the timing and heat of the water.
Just thinking out loud here, I am a novice compared to the crew here! They can give you better scientific data than me so you are in good hands.
In my opinion I must say that the others here who are talking abut a french press, well... I have to agree with them. You need a good grinder and do not grind your beans until you need them, but it is a wonderful contraption! I am very happy with mine, I have a big one at home and take a small one cup press when I leave home! The small one cost me like $15 from Star Bucks it may be a great way to give it a try.
Nice to meet you, and good to have you on board!