I don't know how much the modern take on stoicism diverges from its historical origins, but I'm among those who believe that it ultimately pumps a delusion: that one can solve mind aches with mind hacks. Contemplative mystics (e.g. Zen, Dao) can recognize in stoicism some elemental truths --mainly that our emotions tend to be driven by the fiction created by thoughts--, but they also see it as incomplete at best and at worst, just another misguided attempt at trusting the mind as a solution architect to the problems that it creates, which often results in other subtler problems like bypassing.
Such traditions don't practice control or avoidance of emotions, but rather use them as teaching devices through aware observation when they manifest in experience (bodily sensations and thoughts). Through this "witnessing" there's realization of their fundamental nature, along with surrendering and integration of shadow elements. On the surface the result may appear the same as what stoicism purports to give you, but there's a radical difference. Where stoicism aims for thought-driven control, mystics know there's none to be found and instead encourage to trust in and to reconnect with our intuitive nature. Allow pain, feel it fully, let it go, and return in the flow.
If you're not into mysticism, but are interested in this kind of work for the practical purpose of navigating your experience of life with less suffering, here's a secular curriculum: start with some embodiment practice (contemplation in bodily sensations, yoga nidra, body scan meditations, soft butter meditations, Tai Chi, Qigong, any physical activity done with heightened awareness of the body), find a good teacher or therapist to guide you into Shadow Work, supplement with regular Trauma and Tension Release Exercises (TRE), sprinkle some Loving Kindness meditations to take things to another level. Do this and you won't just look the part, you'll feel it to your core.