The Osprey Aircraft of the Aces series are very good for colour details. In New Zealand the group that Richard Jackson is involved with have six Dr1 replicas painted to represent Jasta 11. You'll find footage of them on You Tube. The schemes are accurate but they didn't all appear together historically.
Then there are some more specialist publications, one published by Windsock deals specifically with the Flying Circus but to be honest a few of the Osprey titles are better for what you want. Osprey also publish an Elite Aviation title on the Flying circus. This combined with their DR1 title will give you a lot of what you need.
Be aware that MvR flew about half-a-dozen different triplanes and they were all painted differently. He also flew several Albatros fighters and again only one of these was repainted in thin red paint overall. There is also some debate about exactly how some of the planes were painted. For example, 425/17 that he was shot down in was apparently part way through being repainted at the time and there are therefore conflicting accounts of how the undersides of the wings were finished. There is also speculation that it may have originally been factory finished in red before delivery. That written alleged surviving fabric (and there is probably enough for several triplanes) shows roughly applied red paint that is now a very dull colour.
I've studied all the images I can easily find of 17/425 being stripped by the Australians who claimed to have shot it down and unless more images come to light I don't think its possible to conclusively claim that it was red under the wings or not and eyewitness accounts don't agree on this point. My own view from studying a good image of it, is that is was supplied from the factory in red overall but the national markings on the lower wing undersides were being repainted to the new style when it was shot down. I believe research into the original fabric failed to find any turquoise blue under the red and that supports the notion of it being delivered in red. We know Goring's DVII was factory supplied by Fokker finished in white overall, so this is a plausible idea.
Although the red probably wasn't that bright I think it must have been bright enough to be positively identified as a definite 'red' at a distance and not a brown or brownish red colour. At the time the red planes of MvR were well known and often seen and identified even by ground observers.
Other Dr1's MvR flew like 152/17 are less conjectural and well documented being part standard Fokker streaky fabric, turquoise under the wings and part of the upper surfaces and cowl overpainted in red. 477/17 was similar to 152/17 being part streaky fabric and part red with turquoise undersides.
F102/17 (his first Triplane) had no red on it all.
There is one more suspected MvR Dr1, the serial number of which I can't recall, (might be 177/17 IIRC) that is potentially the most interesting as it was overall red except for white fields for the earlier style national markings plus plain doped fields on the under wings surfaces for these markings.
The Albatros are easier. The first one a DIII had a red body, u/c and struts but had standard purple/green upper wings. At this time other Jasta 11 planes had red and another colour unique to each pilot, such as a white nose and elevator (Allmenroder) or a black tail – about half a dozen of these are known. One, Simons, was forced down and was flown by the RFC for evaluation. It had red body with wide green stripe. MvR flew at least two DVas one had red upper wing surfaces, red nose and red tail. The other was red overall with even the national markings washed over in thin red paint but probably with blue under wings. This was DVa 1177/17. Several Jasta 11 DVas are known.
The Flying Circus (JG1) was comprised of Jastas 4/6/10/11. Markings are know for all of them but only for a few planes in each Jasta and it's impossible to really work out what was painted, how and when beyond a few examples.
I bet your sorry you asked now! : )