Heavy tips, if they are a factor, likely aren't the root cause... slightly heavy tips won't cause handshock if they return simultaneously, but they WILL exaggerate the recoil felt due to unsyncronized limbs. I would check limb timing.
How do you shoot? Split finger or three under? Are the limbs of your bow the same length or is the bottom limb shorter? Where is your nock point set?
Timing issues, handshock, and imperfect arrow flight due to unharmonized limbs are why I don't care for tillering bows to predetermined brace height measurements while pulling the string from the center of the handle. It's a guess, often not the best for the bow, arrow, and archer, and then we either try to mask the effects by changing nock point height, brace height, etc, or learn to live with it. In my opinion, bows should be drawn on the tree just as they will be by hand, with limbs being timed as closely as possible.
The easiest way to tell if there is a timing issue is to shoot it from higher and lower nock points and see if you notice improvement in arrow flight and handshock.