The caliber you are choosing is about right on for what you plan to use it for.
Whether or not the rifle fits you will be up to you.
The scope........I've always heard that you buy any rifle you want, regardless of how low the price, just put on the most quality scope you can afford. If you have to scrimp, scrimp on the rifle not the optics. For many, the scope is the crutch that makes many shooters look better than they actually are, especially on the bench.
You may be able to do just as good with a SPS and a good scope. Although I don't know what Remington offers in LH.