A friend of mine just asked for advice for good but cheap DSLR for his daughter. I was quite surprised to learn that Nikon D3300 body costs only about 350€, even though it scores higher on DXOMark test than Canon EOS-5DIII and EOS-1Dx for example! So getting a splendid new camera IS possible cheaply. Lenses are another matter, but a couple of used slow primes would be perfectly good for landscape, even old manual focus ones. Also with a APS-C sized sensor only the center matters, making things even better, if getting used FF lenses.
So I would say $1000 goes a long way, and would get a system difficult to tell apart just by looking at the results from a kit costing 5 times more.
I agree. I have a D3300 and the kit 18-55. That is all that you need to start. At around US $400 for the kit - Body, Lens and card (at times bag) it is a no brainer. Use the balance to get a tripod and head.
http://www.amazon.in/Nikon-D3300-Digital-Camera-Black/dp/B00KT7KCPW. Shoot RAW, aperture priority, ISO 100. NO NR, WB=auto, NO DC. These can be set in PP.
. Use free Nikon Capture NX-D to process the images.
. Get a good tripod, preferably a Manfroto with a good ball head.
. Get a set of ND filters.
Now go out in the field and shoot landscapes at all focal lengths between 18mm and 55mm. You will soon find out what focal length is to your liking. Learn how to shoot multiple images and stitch them together. Microsoft ICE is a free and powerful software for it.
Once you spend a few moths with the above equipment, you will not only get a hang of Landscape photography, but be able to identify areas where (if at all) you need to upgrade your equipment. Remember that for getting the DOF you will be shooting between F/8 and F/11 so you really do not need fast lenses. Once you are familiar with the system, you can upgrade to sharper lenses (if at all), but the kit 18-55 VR-II is a very good lens. Do not worry much about distortion, you can correct it easily in post production.