Here's what's unclear from your description: Is the spot you want the drain to come out above where the footer drain is? Or is it lower, but not enough lower to get the slope you want? If it's lower, the water will find a way, just as long as you don't have dips where it can pool and freeze solid. You're really best off redoing the pipe with less slope to have it come out to daylight.
If the spot where you want the water to come out is above the footer drain, you can use a pump, pick a new spot, or try to disperse it underground. Reliably dispersing it underground is not a trivial task. Think of a septic system, that's basically what it does, it's designed so that on the wettest day of the year it can absorb water without leaking or flooding. A moderate-sized septic system might be designed to absorb 500 gallons per day. An inch and a half of rain over 1000 square feet is a thousand gallons. A pit full of sand and gravel isn't going to work for that.