But it will have to endure heat and radiation greater than any encountered by the Enterprise. Although hardly traveling at “warp speed,” it will reach almost half a million miles per hour as it swings around the Sun in flybys that get ever deeper into the solar corona. That is where the Sun accelerates the ‘solar wind’ to supersonic speed and embeds intense solar magnetic fields into a giant spiral that sweeps galactic cosmic rays out of the solar system.
This is the maneuver they used to get back to the 1980s to save the whales in Star Trek IV, but the spacecraft is so small, they won't be able to fit.
But it will have to endure heat and radiation greater than any encountered by the Enterprise.
Beverly Crusher hid the Enterprise in the corona of the Sun from the Borg. She defeated them after doing her hair and makeup.