My elk rifles are relatively light weight and have scopes on them that are very reliable and are good in low light situations. Elk hunting can be rough on scopes. If you think you will need to use the warranty on the scope then it will make poor choice for elk hunting. Second focal plane and uncluttered reticule for me.
My target rifles are relatively heavy and have scopes fitted for the purpose. The stocks are usually different shapes than those of my hunting rifles. Neither the rifles or the scopes are given rough treatment.
Of course a hunting rifle can be used for a bit of target shooting, and a target rifle can be used for a bit of hunting, but it a tall order to make one rifle do both jobs well. For elk a good quality bolt action rifle (new or used) with a Leupold VX-3 CDS can be had for $1,000. That wouldn't be a bad place to start. It is fairly easy to change or upgrade some rifles over time as desired, other rifles can be difficult.