Colchicine has been effective in many cases and generally tolerated well with GI side-effects being the limiting factor. It is found to be effective in the neutrophilic dermatoses and is used in Familial Med. Fever

It has a long safety record

I think Dapsone is a good alternative. taking care of G6PD level. Although it is not used widely but it gives good results

You should first determine the cause of this vasculitis ...and then use the appropriate treatment

leucocytovasculitis, has many causes. though steroid is the main stay, th reason to withhold steriod must be established. It may not be a wise decision to avoid steroids and to adhere to steroid free treatment.

Collagen vascular disease associated vaculitis, malignancy associated malignacies must be evaluated thougrouly

alternatives to steroid include, dapsone, MMP, rituxmab, etc.

A close look at LCV will reveal a close association to "Staphylococcus aureus", particularly when it causes cellulitis (also in the lower legs). In fact LCV is often observed together with cellulitis. It is likely, in my view, that they are caused by the same bacteria, and a weakened innate defense in the skin (especially the lower legs where the skin is thinnest and our immune system also weak with poorer circulation and lymph flow).

Assuming this is true, strategies against this invading bacteria might be useful, such as boosting one's cathelicidin or B-defensins (particularly #3). Again, I'd suggest following the work of Prof. Richard L. Gallo. (I recommended his work in another of your questions). Strategies for improving blood flow in the lower legs might also be useful.

The 2013 article below (co-authored by Prof. Gallo) suggests that resveratrol supplementation or as a topical treatment might be helpful.

https://www.researchgate.net/publication/249647847_Resveratrol_stimulates_sphingosine-1-phosphate_signaling_of_cathelicidin_production

If this works, please let me know.

Article Resveratrol Stimulates Sphingosine-1-Phosphate Signaling of ...