I see some concern about the frequency spread between CalFire and Federal users (BLM, USFS, etc)
Remember that all these agencies have each others frequencies programmed into their radios for interoperability. They use one antenna for those. If you look on top of some CalFire Type 3 engines, you may see two whip antennas about 18" long. This is for two separate radios. The antennas are a quarter wave VHF whip. The nice thing about quarter wave antennas is that they are very broad banded. You can cut them for the middle of the VHF band and they will work well across it. It's no problem to use them with a radio that may be transmitting/receiving at 151MHz, as well as up around the 170 range.
I use them on top of my personal and work truck, and they operate just fine. I have the test equipment to properly tune them, and they show more than acceptable performance across the entire VHF spectrum from the bottom of the 2 meter amateur band up past 170MHz.
That's pretty geeky stuff, but let me explain:
Usually in the 2 way radio industry, anything below 2.0:1 SWR is considered acceptable. This plot shows that the 1/4 wave antenna provides an SWR of 2.0:1 or less from 138MHz all the way to 170MHz. For receiving, SWR isn't much of an issue, so reception of the air band, 108MHz to 137MHz is going to be fine.
These are the same antennas that CalFire is using for their vehicles.
What has been talked about above with getting signals in/out of steep canyons is right on. You don't want a high gain/long/tall antenna in those applications. That's why CalFire is using these. With all the money CalFire has, all their radio guys, all their experience, this is what they have chosen.
Most of the stuff you want to hear is going to be simplex, and fairly low power. The hand held radios only run 5 watts or so. Aircraft radios are often running no more than 10 watts. The mobile radios are running 50. Having a good antenna connected to your scanner is going to help.
In your original post, you talked about being a "perfectionist that wants the best". Then you talk about Tram antennas. That similar to a car enthusiast buying a Yugo. I mean, it'll probably get you from point A to point B (eventually/maybe) but you'll ultimately be disappointed. Tram antennas are bottom of the barrel Chinese knock off antennas. Ham radio operators tend to love them because most hams are cheapskates by default, and they'll gravitate towards the cheapest antennas they can lay their hands on. That's fine if your budget is really tight and you don't mind replacing your antenna periodically. If budget is not a concern (and it sounds like it isn't) you can -easily- do better than Tram. Installing cheap Chinese antennas is not a good investment.
So, what I was showing above was that the simple quarter wave mobile antennas work better in most of the situations you describe. It'll cover the frequencies you want just fine. But, sounds like you want a base antenna. There's a couple of good options that are from reputable companies that make quality antennas, as opposed to cheap Chinese crap knock off antennas:
www.newegg.com
LAIRD 150-174 MHz rugged "Ringo" omni antenna. 2dB gain, 250 Watt 1/2 wave, UHF/F term., accepts PL-259. Mount on 1 1/4" O.D. pipe w/set screw
www.tessco.com
You can also use a "base adapter" and a mobile antenna and make a low profile setup:
If your tolerance for something that stands out a bit more is higher, and your budget doesn't get in the way:
I'm using several UHF versions of this same antenna for a few repeaters up along the Big Sur coastline. They solved some coverage issues that were created by some higher gain antennas. They cover well down into deep canyons (2,000 feet below the antenna). They are also ridiculously durable.
If you want to listen to other radio traffic outside the VHF band, the discone antenna might be a good option. But again, skip the Cheap Chinese crap antennas. High quality commercial discone antennas are really expensive, in the 2-3 thousand dollar range, and overkill for what you need. While not my favorite antenna brand, Diamond D-130 discone is a good option. It'll let you hear some stuff from the UHF, 700 and 800MHz bands, if that ever interests you. If VHF is all you want to listen to, then stick with one of the others.
CHP can be tricky to receive. Often it requires band specific antennas to work well. If you are close enough to one of their sites, then the antenna that you are currently using sounds like it'll work well. You might see some reduced performance if you switch to a different type of antenna.
Don't overlook the rest of the install. You can have the 'best' antenna in the world, but if you connect it to your radio with cheap coaxial cable, you've wasted your investment. You want some decent cable to get it all to work right. The exact type depends on the individual install, how long the run is, etc.
You also need to consider mounting, lightning protection and proper grounding, but that's a different discussion.
Don't put all this effort into this project and buy cheap hobby grade antennas. You'll put some labor, time and money into installing this correctly, and using cheap materials will often require frequent replacement and maintenance. Better to do it right the first time...