its like a Tychonderoga version or whatever you call it when you make a cruiser out of a frigate
I guess you are pointing at the ticonderoga class AEGIS cruiser, which was build on what was in basic an spruance class ASW destroyer hull. this redesign was not cheap, not quick, and not easy. it was an complete redesign of the ship apart from the hull hydrodynamics and propulsion systems.
for building an design based around CGBL, this would be an redesign on all apart from the combat system and (part of) the propulsion system. using a few burke parts is not gonna change that, the only part where you could try to save cost is on the underwater hull, as was done in the abovementioned ticonderoga class. and even then it is more expensive then just keeping (and maybe improving, like the burke family proves currently) an existing design.