Frankly speaking, I would not buy such a camera.
When I use a DSLR, I use it for a specific function such as sports or action photography and where I wish to view the picture to make a judgement.
When I want to take pictures at my own pace, I will not even consider a digital camera, LCD or not. Instead, I use old manual cameras older then our country and enjoy using a piece of fine equipment.
Cost wise is not much of a concern. If you can't afford a DSLR, then get a prosumer, or a second hand model.