Chris,
There are a few key factors I look for when determining to use a “finesse” rig. They are clear water, pressured fish, and light biters. The rig is common on lakes but works equally well on rivers. A rigging or jiiging rod and reel combo works well for the application. What I do is spool the reel with a small diameter copolymer line, I like using Super Silver thread 6lb. test. Attached to the line I place a Northland quick change weight snap and a bobber stop, then tie on a small swivel.The boober stop will keep the weight snap from sliding over the swivel. I will then tie on a lenghth of silver thread for a leader. I usually go with 6ft. length for river fishing. For hooks I will either use Daiichi wide gap bait hooks in a size #8 or an aberdeen style #10. The size of hook is determined by how well the bait can move once hooked. With bigger fats the #8 will work but with smaller fats or if it looks the the minnow is not active enough, switch to the #10.
For weight I prefer the slender profile of the Northland Rock Runners, attached to the quick change snaps. Use a weight that will keep contact with the bottom with the line at about a 30 degree angle.
The combination of small diameter line and light hook will give your bait the most natural presentation. Good luck and let me know how it works for you. Don