I, too, avoid allopathic "medicine" and practitioners for reasons that should be abundantly clear to anyone with any knowledge of these subjects. And the things you've mentioned can be wonderfully helpful. Just a word of caution, though: what's good for us can be disastrous for members of other species. ALWAYS make sure any ingredient is safe for cats before giving/using. Never guess.Welcome to TCS!
I would like to chime in on this as I have suffered from crystals, stones and general UT issues most of my life (kidney, bladder).
I use marshmallow root and slippery elm to soothe irritated tissues, alongside with all the western medicines, because those herbs bring relief while/until the meds do their magic (they are also excellent for lung and gastrointestinal support). When my Maine Coon was getting UTI problems, I had to put the puppy pads alongside the litter box (often the peeing starts off okay but then it hurts and burns so the bladder spasms, despite the meds - the catheters irritate the tissues lining the urethra, separate from the medical problem). I also switched the litter from UNscented clumping to both laying crackettes and laying mash chicken feeds (i had laying hens). JC preferred the mash at first but switched to krackettes and eventually went to only litter.
Also, I took my MC off his beloved Royal Canin Maine Coon mix and put him on Hills RX topped with FF gravy lovers. I let him have Gerber stage 2 chicken and either boiled chicken or hamburger for his treats. I used the herbal decoctions in his food (some people sprinkle the powdered herbs on the food which requires ensuring higher water intake).
You can add an truly unscented litter to the chicken feed for extra clumping (Kmart's Cat&Co and Chewy's Frisco are excellent - Arm&Hammer, FreshStep, TidyCats fragrance free/unscenteds often have lingering irritating perfumes that irritate urethras as well as rectums).
I hope that your boy makes a complete recovery soon!