We derive a family of Gaussian non-Markovian stochastic Schrödinger equations for the dynamics of open
quantum systems. The different unravelings correspond to different choices of squeezed coherent states,
reflecting different measurement schemes on the environment. Consequently, we are able to give a single shot
measurement interpretation for the stochastic states and microscopic expressions for the noise correlations of
the Gaussian process. By construction, the reduced dynamics of the open system does not depend on the
squeezing parameters. They determine the non-Hermitian Gaussian correlation, a wide range of which are
compatible with the Markov limit. We demonstrate the versatility of our results for quantum information
tasks in the non-Markovian regime. In particular, by optimizing the squeezing parameters, we can tailor
unravelings for improving entanglement bounds or for environment-assisted entanglement protection.