Strictly shooting for groups at bench calls for a specialized scope of very high magnification - a fixed power scope of at least 18x, preferably 24x or even 36x or 45x! Thats what benchrest shooters use. Those scopes also have very fine 1/8 MOA turrets and crosshairs. They are useless for anything else, however.
The entry level for decent target scopes would be something like a Weaver T-24 or T-36.
More practical would be a 6-24x50 with target turrets and reticle.
If you want to also shoot "off hand" as you say, target scopes will not work as field of view will be terrible.
You may do best with a classic 3-9x40mm scope or equivalent. If you are not going to shoot beyond 200 yards, you do not need exposed turrets or fancy reticles for bullet drop. Something like the 3-9x40 Diamondback or Leupold's VX-1 would serve you well. The Leupold has comparable glass and more durable build quality. About $199.
Get 45 degree offset iron sights or offset red dot for in close.