The data set only has to be large enough that the search takes more than 1/60th of a second. Then it's profitable to do it concurrently.
GC is not single threaded at all. In WebKit, it is concurrent and parallel, and already supports mutable threads accessing the heap (since our JIT threads access the heap). Most of the famous high-performance GC implementations are at least parallel, if not also concurrent. The classic GC algorithms like mark-sweep and semi-space are straight-forward to make work with multiple threads, and they both have straight-forward extensions that support parallelism in the GC and concurrency to the mutator.