You stay whereever Priceline puts your ass!
Seriously, if you are renting a car, stay close to LoDo (lower downtown). That could be from Quebec (10 minutes once you hit the freeway) and possibly Tech Center (15 minutes). LoDO will be hopping crazy good that weekend. There is a thread here somewhere about best BBQ. We always did the Brazillian BBQ of massive meat and as little veggies as possible...then you **** like crazy before you can leave. Depending on how many days, head up to Black Hawk/Central City/Idaho Springs for some gambling fun and some good eats.