Offloading communication to existing direct memory access (DMA) engines, available on most state-of-the-art commercial GPUs, has emerged as a practical and low-cost solution to efficiently overlap computation and communication in machine learning (ML). However, the reach of DMA offloads has so far been limited to bandwidth-bound scenarios only (10s of MB to GB transfer sizes). In this work, we break this barrier and extend DMA communication offloads to latency-bound regions (KB to low MB). Specifically, we leverage hitherto untapped features available in the state-of-the-art AMD Instinct$^{\mathrm{TM}}$ GPUs that render DMA communication offloads competitive even in latency-bound regions. We demonstrate the efficacy of these features both at the operator level (ML communication collectives such as all-gather and all-to-all), and at the end-to-end workload level (LLM inference). At the operator level, our optimizations provide up to 4.5$\times$ speedups (3.2$\times$ geomean in the latency-bound region) over baseline DMA offload, narrowing the performance gap while delivering additional power savings (3-10%) for ML collectives compared to state-of-the-art GPU core-based communication library, RCCL. At the workload level, we demonstrate acceleration for LLM inference: up to 1.65$\times$ lower latency and up to 1.9$\times$ higher throughput over the state-of-the-art vLLM inference framework. We conclude with a discussion of AMD Instinct GPU runtime innovations that stand to expose these features.