NudeJude I too suffer from a hot head, although I think I might be lucky because it's the only menopause symptom I get. But it is bad and I now wear my hair in an asymmetric bob cut short into my neck because of how wet my hair gets at the back. It is so embarrassing when drops of sweat water suddenly hit the table in a café or somewhere and that's the first sign you get.
I don't have any solution to the hair dripping problem, but I can tell you what I do make up wise, some of which have already been mentioned.
Get your eyebrows and eyelashes done, or learn to do them yourself because it's not hard. It takes me longer to do it myself, but it's worth it.
Use a moisturiser with a fake tan built in. It builds up a natural healthy looking colour and evens out your skin tone. I use the one by Simple, but there's others out there. It doesn't contain any SPF, so I use it as a night cream several times a week and then just use my usual moisturiser in the day time.
If I want to wear makeup then the foundation I use is Revlon's ColorStay liquid foundation for Normal/Dry skin, but it's also available for Combination/Oily skin. It doesn't budge, but you do need to learn to apply it quite quickly to get the best finish. EL Double wear is great, but at almost 3 times the price it's too expensive for me. If I'm really going to town with my makeup, I also use Revlon's ColorStay concealer. If I think I can get away with it for a few hours, I just use Garnier's original BB Cream in Light and hope for the best.
Panda eyes became a thing of the past for me when I discovered tubing mascara. The original one is Blinc, but several big brands do one now. I honestly believe tubing mascaras are played down because they would take away a big share of the maraca market if they were advertised more! You don't get great volume, so if you like big fat lashes, then you're out of luck, but if you like natural looking longer lashes then go for a tubing mascara. I now use a Japanese brand mascara called DHC Double Protection Mascara that I buy from Amazon and love it.
I use a lip stain for colour on my lips and then something moisturising on top. At the moment I love Revlon's fat lip pencils that come in different finishes. The shade called Honey is my current favourite.
This all might sound a lot, but it's not really when you break it down. Apart from the DHC mascara, I think you can buy everything I've mentioned in Boots. In one way it's been a real pain finding out what works best for me, but I love trying new things so it gave me a great excuse! Hope this helps.
Two useful links for makeup and skin care
MakeupAlley
Beautypedia