Speakers with controlled directivity tend to be more forgiving of placement (such speakers usually do not give a wide sweet spot). Still, a wall of glass behind the speakers is not going to give a happy result. Perhaps with sufficient absorption and diffusion on the wall behind the listener, it can be made to work. Maybe, also, drapes can be used behind the speakers when listening.
Dutch & Dutch, Janszen, and Kii are some of the brands that make speakers with controlled dispersion. Also, many pro monitors (e.g., Genelec) are made that way, and are designed to work close to the wall. I have a pair of Janszen Valentinas (a/k/a zA2.1), which match your budget and are indeed compact floor-standing speakers, and I like them a lot. They are hybrid electrostatics, but are not dipoles; they are quite neutral and low in distortion.
Dutch & Dutch, Janszen, and Kii are some of the brands that make speakers with controlled dispersion. Also, many pro monitors (e.g., Genelec) are made that way, and are designed to work close to the wall. I have a pair of Janszen Valentinas (a/k/a zA2.1), which match your budget and are indeed compact floor-standing speakers, and I like them a lot. They are hybrid electrostatics, but are not dipoles; they are quite neutral and low in distortion.