The 3400A is a thermal meter.
http://cds.linear.com/docs/en/application-note/an83f.pdfrefer to page 17 for some comparisons relating to noise measurements. The 3400A is good, I don't know about the 400E.
Keep in mind this thing will probably load down your circuit and you should build a nice low noise preamplifier for it if you want to measure noise.
But also keep this in mind, unless you are a voltnut like I, the fluke 87 is only 5% off from an expensive specialty meter, weighs about 5 times less. Sure, it won't measure 100MHz like a 3403A will, but do you really need it? And this study assumes the worst case measurement, of noise.
*keep in mind these measurements are done in a 100KHz bandwidth. You are probably only interested in a MAYBE 20-30 KHz bandwidth. Modern meters are probobly more then good enough for your task.
If you can get it cheap and you have the space for it then I would get it, because maybe you will decide to do something that requires it if you have some buyers guilt, but it seems like extreme overkill for your situation.