The next tricep exercise that you should be using for girthy arms is the dip. Dips are the only other complex movement lift that centers on building your triceps. As a complex movement, you get the opportunity to use a substantially larger load than isolation exercises.
If, for whatever reason, you are not strong enough to do dips with just body weight, most gyms will have assistance machines. These machines will have a pad for your knees and a weigh stack that will subtract from your body weight to allow the dip movement under your current strength. Your goal in using this is to move to body weight as soon as possible.
Dips are great in that you can do them anywhere, not just in a gym. There is a whole body weight movement for fitness minded people where dips feature prominently. In truth though, this shit is for poor man hipsters. And the Beast Life is not about being hip, or even mortal. It’s about being super human and stealing the half-gay hipsters women by sheer virtue of our virility.
So once you get to the point of being able to do body weight dips in sets of 20, we are going to focus on weighted dips. Most gyms will have a chain belt. This is a belt that has a chain with clips on each side. The chain is long enough to loop through a free weight, adding significant difficulty to the dip. So set up at your dip station, or any parallel bars that are at least waist high. Let the weight swing between your legs, paying extra care to not crush your genitals. Jump up on your arms, elbows locked. Let your legs curls slightly behind you for balance. Keeping your elbows pinned to your sides, lower yourself down until your elbows are a bend slightly more than 90°. Push up again, making sure your elbows stay tucked. Warm up with at least 1 set of body weight before you add weights.