I wanna stay out of any house rules here but maybe we are looking at it wrong on mobile structure.
What if you just used a structure? Make a building in one (or more) hexes shaped like a throne and all and have it move through the hex. Since you mentioned Solaris not sure if you are using 30 sized hexes or 7 sized hexes (it is 7 right?) but 30 should be plenty to ride the throne and warm up the crowd.
I'm not aware of any rules for conveyor belts in any books but they have to exist in the BTech universe. Fluff a conveyor belt moving the throne part of the structure to other parts of this multi-hex building? Since the building exists you can put an elevator on the bottom and rise up.
Building rules are pretty open also, could be a transparent building, could just be the throne and fireworks and conveyor belts. But if the building is made with a door for the Battlemech to exit through you wouldn't need a piloting roll to exit the building and starting in a building and leaving it are totally legal in the rules. No cargo needed.