Two-dimensional (2D) semiconductors have been proposed for heterogeneous integration with existing silicon technology, however their chemical vapor deposition (CVD) growth temperatures are often too high. Here, we demonstrate direct CVD solid source precursor synthesis of continuous monolayer (1L) MoS2 films at 560°C in 50-minutes, within the 450-to-600°C, 2-hour thermal budget window required for back-end-of-the-line (BEOL) compatibility with modern silicon technology. Transistor measurements reveal on-state current up to ~140 µA/µm at 1 V drain-to-source voltage for 100 nm channel lengths, the highest reported to date for 1L MoS2 grown below 600°C using solid source precursors. The effective mobility from transfer length method (TLM) test structures is 29 ± 5 cm 2 V -1 s -1 at 6.1 × 10 12 cm -2 electron density, which is comparable to mobilities reported from films grown at higher temperatures. The results of this work provide a path towards the realization of high quality, thermal-budget-compatible 2D semiconductors for heterogeneous integration with silicon manufacturing.