We investigate a homogeneous system of dipolar bosons in 2D including a short-range repulsion. Varying the strength of this repulsion and the angle of the dipoles with respect to the 2D plane, we find strong evidence for the formation
of a striped and self-bound state in the form of a diverging peak at finite wave vector in the structure factor. We employ the variational hypernetted-chain Euler-Lagrange method, which we previously applied to self-bound Bose mixtures. It accounts
for correlations nonperturbatively, and is very efficient compared to exact quantum Monte-Carlo simulations.
We accurately calculate properties of the ground-state of the dipoles and validate our results by comparison with diffusion Monte-Carlo calculations.