Between now and the fall I’ll be buying a new ball. With the 2 balls I currently have in my arsenal, what type of balls make sense for me to get an asymmetrical pearl/solid or symmetrical pearl/solid? Or, another Hybrid, asymmetrical or symmetrical.

Do you only bowl on house shots or looking to get into sport shot tournaments? What do you see or not see out of your currents balls? Essentially, what void are you looking to fill?

Happen to know a ballpark of your stats (speed, revs, tilt, axis rotation)?

I do not have exact numbers as far as axis tilt and rotation.  According to the graphics on the Storm MatchMaker site, my axis tilt appears to be <50°; axis rotation appears to be <20°; Revs appear to be "Average-276-400 rpm)".  Ball speed from the bowling center is around 14 rpm. I bowl mostly on house shots. For the upcoming season I'll be bowling at a different house and I've been told that there is a high volume of oil on league nights.  I've only bowled at this house during open bowling. I do plan on entering some sport shot tournaments.

I'm looking to fill the void between my HyperCell Fused and the Punch Out. Or, does it make more sense for a ball to use on the fresh and then go to the HyperCell Fused as the lanes transition?

Donuts had a good response. Another one I think might complement your lineup and shape differently would be a Phaze II.

With that said. Keep an eye on the HP3 line from Roto Grip. A Nano Hybrid or Pearl with that Ikon core would also work for this spot in my opinion.

Good luck.  If do go the low RG solid route have to ask yourself do you want to get a stronger ball that can handle lots of oil with a bigger diff like say an Idol (people rave about that ball) or the aforementioned Phaze 2 (and Code X) or do you want something can handle medium heavy to medium oil house shot like the balls I mentioned.  Depends on I guess your style and if you think the balls you already have have house shot covered and if you plan on only using three balls and doing tournaments where the volume can be more than house shot.  Honestly about the RG, going by what is recommended but personally in general I tend to throw higher sets especially on house shot with my 2 piece high RG stuff as it matches up better with my style and does a better job of preventing splits.  A good PSO to help you make your ball choices count is invaluable as going the ball whore route and see what sticks to the wall is a lot more work and expense.  Just beware of the trying to use a Sure Lock on house shot trap.  In my experience people usually are using way too strong of bowling balls for too long than too weak.  For my league I quit worrying about equipment as it was a distraction (have 40+ balls and I can suck with all of them) and simply brought my Hy-Road OG and my Ogre urethane spare ball and my average went up significantly.  It was a first shift doubles league though so I didn't see that extreme of transition.