I don't actually believe in shotgun microphones. Uh. That's actually a long and complicated subject.
Here's the thing: even the very best shotguns (and I'm talking Schoeps and to some degree Sanken here) sound somewhere between "meh" and "poopity" off-axis. When you get to editing dialog it's much easier to have a nice hypercardioid that sounds good off-axis (I'm talking Schoeps again, with the cheap exception of one of the good Oktava mics like we use.*)
So what do you get with a shotgun? Well you get less sound from off-axis. But that sound you do get sounds more yukkity. Will the airplane flying overhead be a bit quieter? Sure. But when you move the microphone from one character to another you'll get a little squonky "swish" sound.
The advantage to wireless lavaliere microphones is that they sound equally crappy all the time, so you don't have to worry about them getting "swishy". The biggest issue with lavs is that they're prone to clothing noise when you try to hide them under shirts. It's very difficult to not hear the damn mic rubbing against whatever jacket or jewelry the actor has on.
The main "Hollywood" boom mic is the Schoeps CMC6. They're good mics. They sound good indoors, outdoors, wherever-you-want. They're a bit sensitive to moisture, but that's probably just because like many "pencil" mics they have interchangeable capsules and a bit of schmutz can get in there if you keep removing the heads.
Now, I'll tell ya, I just looked up the price of those Schoeps and they're not as expensive as I thought they were. Less than a thousand bucks.
This is the Oktava you want. It's nigh on $300, which is a little less than 1/3 the price of the Schoeps. I've done tests on both mics. Off-axis I'd say they're both equally as even - sounding. In other words if you're turn the microphone just as someone starts a line you won't hear a "swish" in the sound of their dialog -- they'll just get a little louder as the microphone turns toward them. The Schoeps has a little "rise" in the upper mids which can sound "better" on a lot of voices, but ironically the Oktava is more "neutral" sounding. In either case, you're not going to immediately notice that one sounds "better" than the other.
*You need to buy from the Sound Room. They have the "good" Oktava mics. The difference is in the quality control -- the QC of the Oktava mics you get elsewhere can really suck.