After several games I prefer the Crusader with a rap battle cannon.
Omg, I cant believe I was doing the statistics all wrong. in this spoiler you can see my glaring mistakes.
Ok I downloaded a phone app called MathHammer
40k for $1 and It was not worth it but it was nice to have.
Here are some of the app's calculations all computed at BS4 and for the blast template if applicable.
Avenger Gat (36" S6 Ap3 Heavy 12 rending but due to the limitations off the app, only 10 shots were calculated)
av11: 2.22
hp removed and 18.21% to destroy
av12: 1.11
hp removed and 18.21% to destroy
av13: 1.11
hp removed and 12.35% to destroy
av14: 0.74
hp removed and 06.17% to destroy
T8: 1.33 wounds inflicted
Rap Battle Cannon (72" S8 ap3 ordinace 2)
av11: 1.78
hp removed and 23.61% destroy
av12: 1.50
hp removed and 18.21% destroy
av13: 1.11
hp removed and 10.19% destroy
av14: 0.61
hp removed and 0.00% destroy
T8: 0.50 wounds inflicted
Thermal Cannon (36" S9 Ap1 Melta 1)
av11: 1.00
hp removed and 48.61% destroy/ out of melta range 0.83
hp removed and 33.33% destroyed
av12: 0.97
hp removed and 45.83% destroy/ out of melta range 0.67
hp removed and 25.00% destroyed
av13: 0.92
hp removed and 41.67% destroy / out of melta range 0.50
hp removed and 16.67% destroyed
av14: 0.83
hp removed and 36.11% destroy / out of melta range 0.33
hp removed and 08.33% destroyed
T8: 0.67 wounds inflicted
Stormspear Rockets (48" S8 ap3 heavy 3)
av11: 1.33
hp removed and 16.66% destroyed
av12: 1.00
hp removed and 11.11% destroyed
av13: 0.67
hp removed and 5.56% destroyed
av14: 0.33
hp removed and 0.00% destroyed
Kytan's Gat (48" S8 ap3 Heavy 8)
av11: 3.56
hp removed and 38.27% destroy
av12: 2.67
hp removed and 27.47% destroy
av13: 1.78
hp removed and 14.81% destroy
av14: 0.89
hp removed and 0.00% destroy
T8: 2.67 wounds
to be continued and please let me know if my math is wrong. I am using rudimentary stats. what is that more advanced statistical math?