I went through the same thinking process for my son a few years ago. Settled on a Remington Model Seven Youth in .243. Set it up with a Burris 4X scope. Since then, we've restocked the gun with a full-length factory take-off. He still hunts with it, as does his younger sister. The .243 is a great deer cartridge, and the Model Seven is a great, short-action, carbine-length rifle. They are not inexpensive, but they also hold their value very well.
The Howa Lightning is the same thing as the 1500, correct? If so, you could simply buy a Hogue stock and cut it down to youth length. MidwayUSA has 'em for $105. Far less expensive than a new rifle!