Steep and thick = light rifle and 100 yards range = cheap and readily available ammo = Nothing exotic but highly effective for over a century = A classic deer rifle = Marlin 336 in 30-30.
If your goal is to look like John Wayne, buy a lever. If you want a good hunting rifle get a bolt gun. The Model 7 you are looking at is smaller, much lighter, much more accurate, more powerful, much more reliable, can get off aimed repeat shots just as fast, and can be purchased for less money.
How much velocity would you loose with the 16" barrel in 7mm-08?
At 100 yards not enough to matter, but who says you will never get a longer shot. I like short handy rifles, but wouldn't want less than 20". I've never found 22" to be too much. Not only will you keep the velocity up, the gun will be much quieter and enjoyable to shoot.
I actually like Rugers a lot. They are near the top of my list and normally would be ranked above Remington, but Rugers, even their compact models are NOT light. They have among the heaviest actions. Screwing a thin, short barrel on them makes them a little lighter, but at the expense of performance. Other guns, with a lighter action can keep the weight down while still givng you a longer, thicker barrel which helps you shoot.
looking at about $200.00 for optics).
Look at the Burris Fullfield II. They have introduced a new version that is selling for about $199 for a 3-9X40. I actually like the older version just as well and they are discounting them now for $179, $139 for the 2-7X32 model. I would be tempted to save the money and a little weight going 2-7X. Don't put a big heavy scope on a lightweight rifle. The Talley lightweight mounts are what you want as well. They only weigh 2.5 oz. compared to 6-8 oz for most steel rings and bases. They are actually stronger since the rings and bases are 1 piece made together.