I'm a beauty therapist and I do massage as well (although we don't do make-up in our salon).
It would be good to know what makeup you currently wear (ie: full face, natural look or heavy...?)
When I worked in an office environment I used to wear heaps of make-up, then one day I said "bugger it" and stopped wearing make-up. My skin cleared up (it had been spotty, and the makeup would 'cover' it), and it cut my routine by 1/2 hour each day! I also didn't look like a panda bear 1/2 way through the day.

My suggestions would be to go light on the make-up if you're comfortable with it.
A long-wearing foundation (which stays longer if it's set with powder) or some 'fake tan/bronzer' applied to the face... if you need to even out your skin tone.
Lips: Some lip gloss which you can touch up. Lip balms are better as they don't tend to be licked off. If you wear lipstick, the long-last ones are pretty good... but they really dry out your lips.
Waterproof mascara is long-lasting and doesn't tend to sweat. But it can look a bit gluggy and a nightmare to remove. My trick is to wear normal mascara then apply a coat of clear mascara over the top.
eyeshadow: a must-have is "eyelid primer". My eyelids "sweat" and my eyeshadow creases up and looks gross. But I discovered primer (in London) and it's amazing!
Blush: Cream blushes stay on longer than powder ones.

Looking immaculate doesn't mean you have to wear make-up. As you said, make-up can look terrible at the end of the day. Massage is hard, physical work and with oil on your hands, it is ineveitable that you will touch your face occassionally. Well presented can be neat hair and smart dressing.

And finally - CONGRATULATIONS on the job!!! It sounds ideal.