OK, er... still I think *Archaeopteryx* doesn't look anywhere near a climber, so close relatives probably didn't climb much either.
Nesting in trees, BTW, which has often been cited as an advantage of arboreality, seems to be a rather recent innovation among Neornithes; *Gobipteryx* nests are AFAIK also known to lie on the ground.
There must be a reason why 1 *Compsognathus* specimen is known from the Solnhofen/Eichstätt area, while 8* specimens of *Archaeopteryx* plus the isolated feather are known from there... Ebel suggests the later were more likely to die in/above the place where they fossilized.