hannamyluv - 5:30 pm on Aug 24, 2013 (gmt 0)
I don't know of any tools, but it sounds like you have multiple sites. You could try just moving one to better hosting and see what the results are. Most places offer 3 or 6 month packages.
If you don't see a difference, you can just move it back after the test. Relatively short test with relatively low cost.
Or, if you have different sites on different hosting accounts, you may want to look at something like a VPS, where you can host them all. Sometimes placing them all on one better place is actually cheaper (on a pure what you get billed) than spreading them out across multiple cheap hosts. Worth looking at anyway.