Going to that end of Green, I'd have your crew launch at the State Campground ramp (it's free to launch). I'd fish around the island that sits between the campground and Emerald Isle Marina. Click on this and study the area for habitat placement : Green River Lake Fish Attractors - Google My Maps (bare in mind that many of these habitat placements may no longer be present, but the areas where they "were" is still a viable area to look)
OR ... if you don't have current reservations anywhere & are going to be there for more than a day, you might consider the floating cabins at the Green River Marina, located just North of the dam. Launch there and head left towards the campground/island/marina area.
Bare in mind, also, that this time of year the lake is normally "high" from Spring rains, and could potentially be flooded. Use this site to check on current levels : Louisville District Daily Lake Report .... and if you click on the highlighted number under the column "Todays Pool Feet" for Green, it will show you a chart of the past year's levels.
Also of note : the size limit is 9" & the creel limit is 20/person/day
You might even consider posting your query on the Kentucky forum for more info.