Just been doing some research on this. 110v is not really going to be strong enough to get much momentum.
That and theres a lot more maths involved in an EM accellerator. You need to know your maximum pulse current, and select a diode thats suitable, along with an SCR as well. Due to the fact that your not going to be destroying the coil every shot, your caps will go negative if not protected properly. Since I will be destroying (most) objects placed across my bank (including empty beer cans - that should be fun) I shouldn't need to worry about the diode, but will be fitting it anyway; it that shot where some of the target remains that will put my $200 cap array at risk.
I would suggest looking up "camara capacitor coil gun" and working from there. The coil gun works in similar fashion to what you want to do, just a different style coil. Sticking with your current caps, I'd charge them up to their rated voltage (or slightly shy, such as 190V), and go from there. Make a remote box for testing, and once your satisfied with the outcome, then fit the assembly to the insides of the rifle stock.
Forget about the rifle body until you have the electronics working properly and safely. Then ensuring the caps are discharged (and then put a clip lead across them to keep them that way) go ahead and make your gun.
If you use isolation electronics (where the operator is seperated from the high voltage by a beam of light etc), you can be quite safe from being shocked by such a thing. Mine will be using contactors, opto-isolators and at most the operator will be near 135 volts (feedback signal from the bank volt readout). The rest of the nasty hv stuff is contained inside the cap bank box, well away from the operator. (for obvious reasons - blowing stuff up involves very loud bangs, and hearing protection should be worn, even though the operator will be up to 10 m from the bank).
I cannot simply suggest a diode and SCR. That depends on the inductance of your coil. Since every coil is different, every semiconductor requirement will be different.
Some test equipment you'll need for this is a volt meter, a inductance tester and that java program mentioned on the 4hv forum for calculating your pulse length / voltage / current. IF you dont do the math your going to be sorely disappointed as you blow scr after scr etc, which could get quite expensive. Once you know your peak current you'll be able to select an SCR and diode once (perhaps twice if you have a wiring boo boo), and not spend a fortune on fried components