Creating a rectangular star map I'm trying to find/create a star map between the declinations of -45 to +60, and need it to be a rectangle. Is there any software/website that would let me create this? Is there a name for this kind of map/projection?

(I've attached a diagram to try and make myself clearer) 


Thanks for any help :)
Equirectangular
or equidistant cylindrical projection
is the simplest way to meet these requirements.
Plate Carrée is the case where distortion is minimal at the equator.
Dominic Ford's Map of the Constellations uses it,
as do the Deep Star Maps
by Ernie Wright of the NASA Scientific Visualization Studio.
In free software,
Stellarium calls it "Cylinder," and
Cartes du Ciel calls it "Cartesian."
If you plot your own, you could scale the horizontal dimension by
$\cos 30^\circ \approx 0.866$ to minimize distortion at
$\pm30^\circ$ declination.

Since you are not plotting the polar regions,
other cylindrical projections are possible.
The Mercator
projection is available in both Stellarium and Cartes du Ciel.
Stellarium also offers the
Miller cylindrical projection.