I run a 2x Leupold on my 30-30 contender without issue. Finding your target can be a little tricky, but second nature with a little practice. If you are not comfortable running your 2x7 scope at 2x, then a red dot should work for you. Avoid the cheap stuff. I have had good luck with Aimpoint, Vortex, Burris, and Ultra Dot. I repeat, avoid the cheap stuff on a gun that recoils. The .44 mag Ruger Redhawk pictured below has worn the same Ultra Dot sight since new, about 1980, and has fired thousands of heavy loads without issue.
EDIT - I just had a thought. The 2x7 scope on your Contender is a long eye relief HANDGUN scope, right? If not, then that is your problem. Some guys run rifle scopes on their Contenders, and hold them close to their faces. That works with very mild cartridges, but not with anything that kicks, like a 30-30......
Larry