Almost excellent unique factorization domains

Let (T, m) be a complete local (Noetherian) domain such that depth T > 1. In addition, suppose T contains the rationals, vertical bar T vertical bar = vertical bar T /m vertical bar and the set of all principal height-1 prime ideals of T has the same cardinality as T. We construct a universally catenary local unique factorization domain A such that the completion of A is T and such that there exist uncountably many height-1 prime ideals q of A such that (T/q boolean AND A/T)(q) is a field. Furthermore, in the case where T is a normal domain, we can make A "close" to excellent in the following sense: the formal fiber at every prime ideal of A of height not equal to 1 is geometrically regular, and uncountably many height-1 prime ideals of A have geometrically regular formal fibers.