Good GPA, good SAT, good extracurriculars...I'd say you have a decent chance.
However, many of the posts here show a lot of people who have little familiarity with the college admissions scene today. A state school means easy acceptance my rear! The major state universities, especially the flagship universities, have been raising standards for over 10 years now. The flagship universities of any state are no longer easy to get into. Decent national universities like Penn State, University of Pittsburgh, University of Maryland, etc are pretty hard (UM had over a 3.5 average GPA of incoming freshmen last I looked, when I was college age in the late 80s and early 90s that would get you into a Stanford). Top national universities like UNC-Chapel Hill, several UT campuses (including Austin I think), University of Virginia, UCLA and others can be as hard for some applicants (especially out of state applicants) as the top private schools including sometimes the Ivy League. Specialty schools can be even harder- St. Mary's College of Maryland, a public liberal arts school, sometimes turns away students who can (and do) get into Harvard and Yale.
I'm not saying this to discourage anyone. Simply, you need to know that the days of near guaranteed acceptance into a state school are long gone. Competition for the best students (who like to see "exclusivity"), competition for general reputation which is aided by a more "competitive" admissions policy (and helps with gaining research grants, business contributions and alumni contributions), and the ability to lure the good students away from top private schools due to tuition considerations have been just a few factors in the somewhat recent change. Don't get your mind too set on any one school because you may or may not be accepted. Certainly, you need to have a "plan-B".
As for specific admissions numbers you may want to consult some of the college guides out there as they usually will have information on how competitive things are. They will have acceptance rates, average GPAs and test scores and a lot of other good information. Do a search on Amazon.com, go to your local bookstore, or check out the offerings at the library, and spend some time with these books and you'll know where you stand in reality.