I would really do your research on solar, if you haven't already. First off, finding a patch of sun in some areas of forest, like the northeast, can be a challenge. You're basically forced to spend a lot of time at shelters or summits for the sun hours, and even then, you can be in the shadow of a hill for 1/2 the day. So, ideally, you're going to spend the potentially best part of your hike sitting still.
Second, small solar chargers take an arduous amount of time to power an iPhone or a GPS. A larger, folding solar panel fixes this issue by providing enough power, but then, you're carrying a lot of weight- pounds of it.
We brought a Goal Zero Guide 10 charger on our bike tour. it didn't work at all while moving because of trees turning our iPhone on and off. Second, it was heavy- it weighed 13oz plus another few ounces for the charging cords and adapter. All told, that's a pound of extra weight for something we didn't use because of the inconvenience.
Solar makes some sense if you have a large storage battery that you can "top off" when you happen to be sitting still. That way, you can take one big day to charge up, and then use a panel to keep yourself there as long as possible when you're off the grid. This kind of system makes a lot of sense for bike tourists, who can internalize 2-3lbs of weight without trouble.
A solar panel alone, in the forest, is in my opinion optimistic at best and dead weight at worst.
Ultimately, as much as I am loathe to sacrifice a gadget, a map never loses it's battery.