Spiral instabilities usually obscure theoretical attempt to get into metallic phase by doping. A recently revealed nonlocal phase string effect indicates such spiral effect to be artificial due to an illegitimate mean-field treatment. We present a self-consistent theory which incorporates the nonlocal phase string effect into a bosonic resonating-valence-bond (RVB) description and show a continuous evolution into a metallic phase, where magnetic anomalies in spin susceptibility and NMR are found consistent with experiment and superconducting condensation is always present at low-temperature. A unified phase diagram for the weakly doped t-J model is given, in which an underdoped metallic phase with charge inhomogeneity is also briefly discussed.