Ah...

You are looking for a projection. With a projection you take your starting point, along with the distance and bearing from that point, and from that you can calculate the other set of coords.

You can do that using the Projection feature of FizzyCalc. Just enter in your posted coods, and the distance and bearing and it will give you the coordinates for the cache.
For example, with a starting point at N 44 47.538 W 068 46.333. You'd enter under the "Point" section of FizzyCalc. And, you'd enter the distance, we'll say 750 feet, in the "Distance" section. And finally, you would enter the bearing, lets say NE, or 45°. We then click the Go button and get a final coordinate of N 44 47.625, W 68 46.210. I usually use the "High Accuracy" calculations - generally unless you are projecting many miles, this will not make a lot of difference.

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Now, two more methods of projection using your GPS instead of FizzyCalc...

1.Many GPS can do projections. You will have to look at your manual to be sure and to see any limitations. Usually you can enter a distance and a bearing, but often you are limited in increments of .1 mile or 528 feet, which would be 34 feet off if you need to project 1550 feet.

2. If your GPS does not support projections, or does not support the distance you need to project, there is still a fairly easy way to accomplish a short projection. If it isn't already, change your GPSr to display bearing and the distance. Also make sure it is set for True, not magnetic North. Calculate a reverse bearing by adding or subtracting 180 from the given bearing. With the GPSr pointing to the starting location, walk away from that point trying to maintain the reverse bearing and working towards the the specified distance. When you get to the specified distance and the reverse bearing is correct,you should be near the correct location. Essentially with this method, you are trying to walk away from the starting position the specified distance and bearing instead of walking toward the final. Hope that makes some sense.