I was a teacher and held SLT roles so take my hat off to you for being a HT with a young family!
Don’t do or change anything for the next month and use the summer to properly re-group and prep for the autumn term.
It might sound obvious, but you are the headteacher and so do have quite a lot of power over your working life. Is there anything you can change in terms of your day-to-day responsibilities that would make life easier? For example, meetings, teaching, assemblies or delegation of work. It doesn’t have to be forever and will also give your team development opportunities. You could also consider asking the governing body for a payrise - read to the end of my post if you immediately recoil from this idea!
Hair: I don’t quite understand you not washing it in the shower, but have you considered a GHD smoothing brush? I find it quite useful for just smoothing my hair a bit on non-hairwash days. Even if I just do the parting and front section it looks a lot better.
Clothes: a certain amount of formality is needed as a headteacher, while still remembering that you are working with children, so a capsule wardrobe is a good way to approach this. Pick two colours: navy and light pink for example. Look on EBay or Vinted for brands like Hobbs, Whistles or Jigsaw.
Navy trouser suit
Extra navy trousers or skirt
Pink shirt with collar x 2
Blouse x 2 with a pink or blue element in the pattern
Patterned jersey dress on a navy background x 2
Textured cardigan or knitted blazer with a pink or blue element in the weave
This might sound a bit formulaic but it is far better than stressing about what to wear in the morning. Personally I would avoid black as I don’t think children like it and it can look a bit funereal in a school environment.
Food: a slow cooker, Cook and Charlie Bigham meals are your friends. Do you use your oven timer? Once a week I put in jacket potatoes to cook while we are out at an activity. I use the slow cooker several times a week, you can prepare the bowl the night before and just turn it on in the morning.
Help: you have a large local network as a HT, can you find someone whom you can trust for occasional ad-hoc babysitting? What about ex-pupils who are now at university? Or discreetly ask a friend on the staff or governors if they can recommend anyone?
Finally, I sometimes find it useful to ask myself the following question: ‘What would a man do in this situation?’ 🙂