They can be caught all year, since Saugeye don't normally spawn there is really no run so to speak but if you are going to be fishing in a river I would fish in the eddy's and slack water areas below any low head dam or find deeper pools on the outside bend and fish it were the fast water riffle sweeps into the deeper pool. use a jig/minnow or jig/nightcrawler and cast quartering upstream and let your jig sweep out of the fast water down into the deeper water. Use enough weight to bounce along the bottom because that's where they will more than likely be. If you don't want to fool with bait use a twister tail on your jig, I prefer these colors, Chartruese, yellow, pink, white, pearl/chartruese, red/white. Good luck I hope this helps. Also try around the mouth of smaller tributaries sometimes they will stack up in those areas as well.