Ball Selection

Question
I have been bowling for about 18 months and in the past 8 months have raised my average from the 130s to the 160s.  I have made some horrible buying decisions with equipment and am asking for assistance in 'righting the ship'.  I prefer to throw right down the 10 board on THP.  I have success with a Hammer Backlash... not so much with the Brunswick 4.5 and even less with the Hammer Swagga.  Obviously I tend to stay out of the oil as much as possible.  Are there product offerings within Track and Hammer lines to better suit my game?  My rev rate is moderate, ball speed hovers around 16.  The assistance I have been given from the two Pro Shops I have dealt with has been quirky at best.

Answer
Congratulations for improving your average so much in such a short time! The ball you currently prefer, the Backlash probably is best suited for your game as you prefer. Without knowing why you chose the Swagga and Brunswick C 4.5 and why you consider them bad choices I can only make some assumptions. I'm guessing you are not happy with the Swagga or 4.5 because they hook a lot more than your backlash causing inconsistent results trying to keep the ball in the pocket.
Let's look at your current inventory of balls.
The Backlash is a reactive urethane ball with a symmetric core designed for dry lanes. This ball is designed to have a moderate, smooth arcing hook.
The Brunswick C 4.5 is a high end ball designed to hook quite a bit for moderate to heavily oiled lanes. This ball has an asymmetric core to allow for a variety of  drilling layouts to create different ball action.
The Hammer Swagga is also designed to hook quite a bit for heavily oiled lanes. Like the C 4.5 it has an asymmetric core with a a reactive urethane cover.
If you look at a site such as bowlingball.com you can compare the amount of hook and the characteristics of the various bowling balls. They use a "perfect scale" to measure the hook potential of each ball so you can see how each model compares to other manufacturers and models. If you look at the perfect scale rating, of 1 - 300, a 300 is the maximum hook potential and 1 is the least amount of hook. The Backlash has a rating of 99.5, Swagga is rated at 199 while the C 4.5 has the highest hook potential with a 211 rating. Did you purchase the 4.5 and Swagga to have a ball that hooks more or hoping to get more carry when it hits the pocket?
I'm not sure how you want to "right the ship".  Getting a new ball that does the same thing your Backlash does will only get you the same results with a different ball. It seems that you are most comfortable with smooth, even arcing, moderately hooking balls. The Hammer "Vibe" is comparable to the Backlash but with a higher hook potential. Track makes a 300c that is the mildest hooking ball but still hooks more than the Backlash or Vibe.
Rather than looking at the Swagga or C 4.5 as a replacement to the Backlash, you should consider them as complements to your Backlash. Because the Swagga and 4.5 are designed for oil why not put the ball in the area it was designed for? If you are right handed, move your starting point on the approach 8 boards to the left and change your target to the 15th board. This should keep the ball in the oil longer to minimize the bigger hook of the Swagga and 4.5 and allow the ball to retain it's energy and start hooking from farther out on the lane (which will also give you a different trajectory into the pocket). Changing lines like this will take some getting used to, but should help you achieve higher averages by making you more versatile in handling different lane surfaces and oil patterns.