Point of Impact(POI) can be affected by several things. Different loads often have different POIs and different chokes also have different POIs. It's alway best to find the load that gives the pattern you like, zero for that load/choke combo, and only hunt with that combo. Sometimes you will find several loads that share the same point of impact, but it should always be tested on paper prior to hunting. Many people think "This is a shotgun, it will shoot any shell or choke where I have the bead pointed.." but that is far from the truth.
1st of all I would suggest to shoot your gun at large pieces of paper. 3' x 3' works well. You can buy rolls of contractor paper at Home Depot, Lowes, or many hardware stores in the painting section. The rolls I buy are 35" wide and 140ft long. Place a dot in the center of the paper and shoot each load and choke at 40yds. After the shot, draw a 10" circle around the most dense portion of the pattern and count the number of hits in that circle. You want at least 100 evenly dispersed hits in that circle at your maximum range. That may be well beyond 40yds with some loads, but 40yds is a great distance to find what patterns best.
Once you find the load and choke that patterns the way you want, shoot it again a few times to make sure the pattern numbers stay where you want them and also to see where that 10" core is in relation to your point of aim. You may very well need adjustable sights if you are just using the bead now.
After you find the patterns you want and get your gun zeroed, it's good to find the max distance you can consistantly place 100 hits in the 10" circle. Just remember that 100 hits consistently on a ccalm warm day is much different than a cold or windy day, so you shouldnt attempt a shot that far under bad conditions.
If you are looking for a different choke to try in your Inv+ gun, you may want to try a Primos Jelly Head .670. That choke has proven to work well for me in Inv+ guns with both lead and HTL loads.