Did you see this page?
http://www.summitpost.org/interesting-w ... its/171585 I found the summit, although it wasn't a very thorough dataset
If that is what you saw about the summit, it is unlikely that you could find anything more thorough as it actually took a lot of time to dig up the information. Although I spent many, many hours on it, there just isn't any other information for Rainier summit that I'm aware of.
That's about all the information I have been able to dig up on the temperatures on Rainier. I don't think there is any better source than this since the data is so hard to dig up.
For Camp Muir, I'd suspect that the average night is 7-10 degrees from the mean temperature and the average day is probably 7-10 degrees warmer than the mean, with different days varying 7-10 more degrees from either end of this. I do not know anywhere to find long term-low and high temperatures, only averages. The only thing to do would be to view the data each day and average them yourself (which is actually what I did for much of the information in the link).
In July, I'd expect night temperatures anywhere from the low 20's to mid 40's at Muir, and only occasionally out of this range.