The 30/30 in a handi can be loaded with 125 gr pointed bullets that have a decent BC and shoot pretty flat to 200+ yards. I know because I do. A 45/70 cant be beat for close range power and you have one of the best. You say you prefer to get in close, and you want to "hunt" and for predator control, I assume coyotes, foxes, coons etc. There are 2 cartridges that come immediately to mind. A Hornet and the 357 mag. Both are accurate to 100 yards. Both will take predators at that distance without problem. I use both a great deal. Both are cheap and easy to reload, the 357 has a wider range of factory loads and is easier to find ammo for. The Hornet is quieter and less danger of over penetration or ricochet . You do not "need" another high power. You will find that if you have a Hornet you will not hesitate to take a shot, while the 30/06 you will be worried what is behind it, the noise, the recoil etc, regardless of if it is even conscious.
If handi ever makes a commercial run of the 300 AAC it is a great compromise, from 200+ grain subsonic that are very quiet to 110 gr at over 2000 fps that is a credible hunting round. Many here questioned its utility originally, this is exactly the scenario it would fit perfectly.