My experience with Handis has been that they need load development. Not just the newer ones, but the "pre-Handirifle" H&Rs also. Make up loads from 10% (or lower) of max, five rounds per charge, and increase these in 1/2 grain increments to max. Start shooting from a rest with the lightest load, then switch to a new target and use the next load, etc. You will see the groups tighten up to what the rifle likes, then start to open up again.
Make sure that you have marked each load so you will know what is best!
I don't have a .30-06 any more, but when I did I used IMR-4064 behind Hornady 150 grain spire points, and was able to get sub MOA groups.
I like 5 shot groups because they will show a flyer better than 3 shot groups.
Hope this helps!
-Kees-