there are depilatory creams for razorless head shaving (I know King of Shaves and Nair makes products marketed to men). I've not used them on my head (yet) but my wife has used them on her legs and they have an awful odor. If you can endure that, then maybe that's the direction to go.I'm in a weird spot with my head shaving.
I hate the stubble left behind by even the closest cutting clippers as well as hate that process entirely. I've used just about every razor you can imagine on my head (30+ DEs, injectors, shavettes, headblade, Gillette guard, orange Bic, various disposables) and all of them leave me with terrible ingrowns on the back of my neck and nape. Don't worry, I've tried: cold water, warm water, alum, wtg only, atg only, brush, no brush, shave first/shower second, shower first/shave second, tend skin, nothing helped. I recently started using a cheap Remington electric foil shaver and that has, for me, been the best middle ground between closeness and comfort but it still isn't great and takes about 10 mins for me to just have visible stubble and hour later. I like having a smooth dome or just letting my hair go entirely, I'm not really into any sort of middle ground. Basically I'm at the point of giving up entirely on head shaving because of this constant struggle. I'm not bald or even balding, I'm entirely "bald by choice" so it's not a big deal... I just highly prefer a smooth dome.