The story told of the Rutan Voyager is that the original concept and preliminary estimates of feasability (e.g., the amount fuel, duration of flight, airspeed) were done on a napkin (or envelope?) at dinner.
The OP has enough information at this time to make preliminary estimates of feasibility. I would suggest starting with the power source and finding out how many watts per unit area can be produced and weight per watt they can expect with current technology photocells. For the airplane, there are good sources for estimating the wattage needed to fly a certain weight. Weights for the motor and batteries per watt or watt-hour, respectively, are also available.
Then, I would add a couple of recommendations: 1) It seems unlikely that one would be able to fly day and night under power using only the electrical energy gained during the day with currently available photocells. Thus, I would assume that during daylight, the aircraft could soar to conserve battery power. A reasonable assumption might be that the craft could soar no more than 1/2 of the time. 2) Wing loading for model sailplanes of up to 4 M span is generally limited to 10 to 20 oz/sq. ft., with larger models able to handle the higher loading better. Full-scale gliders (e.g., the Slingsby designs) have loadings of 4 to 6 lbs/ft.sq. with wingspans of 15 to 18 M. The relatively constant ratio of wing loading to wingspan, not area, is well known. If you assume a value of around 4 to 5 oz./ M span, a 2 M glider will fly with a loading of 8 to 10 oz./sq. ft.; an 18 M glider will support a loading of 90 oz./ ft. sq. Those are very rough estimates; just don't expect an airplane with a 10 M wing and 20lbs. /sq. ft. to soar very well.
Thus, you can find the power per pound available, the power per pound needed for powered flight, hours of sunlight, hours of powered flight needed, size and weight of batteries for night flying, and wingspan needed to be able to soar effectively. Then, all you need to do is design the airframe to meet those weight, size, and strength requirements. I would definitely suggest waiting for the Summer and going South, if possible.
As suggested above, don't be shy. Throw some of your estimates out for us to help you on. John