I do not think you can dry gel nail polish without UV light. The gel nail polish contains resin. The resin is in the form of a fluid gel. It does not solidify before it is exposed to the UV light. the gel nail polish will be harden when exposed to UV light from the UV lamp. In recent years, it becomes more popular because the gel nail polish come in polish shades and it will last longer than regular acrylic nail polish. They are chip-resistant and will keep looking great for weeks.
The gel nail polish are differently formulated as compared to regular acrylic nail polish. It can not solidify with natural air. You can not find any other alternative way to dry your gel polish. If you use the other way to dry it, you can not promise a quality results as you expected. It's impossible to air it out, as it will remain runny or smudge.Use UV lamp or LED lamps to dry it without any fail.