If the condo sale is going to count as income for you this year, that will more than likely cause your EFC to be so high as to make your student ineligible for aid. Gap year, or a part-time scenario (take a few classes at a community college or low cost state school you fund with cash) is probably best. But, definitely talk to both admissions and the financial aid office, they may have some ideas about what you can do.
Here's the formula used by the FAFSA to determine Expected Family Contribution (EFC):
http://www.ifap.ed.gov/efcformulaguide/091913EFCFormulaGuide1415.html. You can see from that link that income counts way, way more than assets do: 47% for income vs 12% for parental assets.
It's complicated, so I'm going to make some assumptions which could be wrong. For income, you get a deduction for taxes you paid, $4k for employment expenses, and an income disregard of 17,440 (for a household of two). Then add retirement contributions as untaxed income. Whatever is left is counted at roughly 47% x (AGI + retirement - taxes paid - 21,440). From the condo sale, depending on how the tax situation works, that is probably counted as part of your income this year.
For assets, you get a small exemption for a one-parent household of about 7k, then it's 12% of your assets. If you have a business, the business is counted as an asset at 40% of value up to 125k (this totally sucks, by the way - you shouldn't have to liquidate a family business to pay for college).
Since the home value is exempted from this asset calculation, as other posters have mentioned, dumping money against the mortgage is a safe and easy way to avoid asset raiding. But, your income this year is probably going to take your EFC way, way up to the point where you won't get any aid regardless of how much you have in assets.