If the "ice" could be the icy slopes of remote mountains, then I'm feeling like it could be Orion Shall Rise (1983) by Poul Anderson.
After nuclear weapons ravaged the Earth, only Skyholm, a huge solar-powered station floating above Europe, remains in possession of high technology. But as Skyholm is seized by a religious faction, a young noble escapes to the ground below and joins a group who conspire to use the power of the atom, outlawed for centuries, to regain the lost heritage of space flight.
The world is Earth, but distant enough post-nuclear that the socioeconomic landscape is a strange blend of future technology and feudalism. The planet is also heavily resource starved and unable to support the full restoration of pre-nuclear event technology.
The ship is an old, unused, Space Shuttle that one faction (nation) is trying to revive and launch to reclaim the stars denied by a couple other factions. One of which is able to use a solar-powered aerostat (balloon) to oversee Europe, and other areas at will. The other is Polynesian based and controls the seas while enforcing heavy "ecologically friendly" conditions on the rest of the nations.
The ship is in an ice-covered mountain reachable only in warm months and the cavern is equipped with a bay door for eventual launch.
While it's been a few seasons since I read it, I think Miranda is the either Skyholm-based lady-friend of the rebel, the current "leader" of Skyholm, or possibly just a ranking officer with sympathies for the rebel's cause.
More details on Wikipedia
In the book, Skyholm is an aerostat (solar-powered dirigible) residing in the stratosphere where its aristocrats rule over the western area of Europe. It is capable of maneuvering, theoretically over the globe though they only cover their own territory in practice. It has the ability to generate lightning (electrostatic discharge from battery storage), which was designed as part of it's maneuverability but has been turned into a weapon against the people (subjects) living on the ground. The lightning is also used for weather control, sometimes as a means of coercion. The "Captain" of Skyholm is a quasi-hereditary post, descended from the person who was the Captain of the ship at the time of the original nuclear event.