Given the choice between the two, I'd go with the Antenna Specialists. NMO mount is going to be much more universal and is really designed as a mobile antenna mount. The UHF mount for the Diamond, in my opinion, is a very poor design choice, and not at all suited for mobile use. I know the amateurs like UHF connectors, but I never understood with much better options out there why this type of mount is still in use.
The AS is a quarter wave, and I personally really prefer those for mobile use. The nice even radiation pattern works well in the hills and mountains here in California. Just take a look at what CalFire and your local agencies use. CalFire used quarter wave and I'm sure you'll find the locals do too. The lower height will be a benefit off road, as will the spring.
The Diamond, being a 5/8 wave will probably work fine, and they are usually flexible enough to handle off road use. I'm not a big fan of Diamond, I think of them as an amateur grade antenna, and not really designed with the commercial use in mind. Likely it would be just fine.
I've never heard an improvement in signal between a 5/8ths wave and a 1/4 wave. I know on paper it's supposed to be there, but I just don't hear it. Maybe out on the flat plains of the midwest it makes a difference, but here in the hills, mountains and valleys I just don't personally see the improvement.
To top this all off, a quarter wave antenna is going to have more useable bandwidth as compared to the 5/8ths. In other words, the acceptable SWR will be spread across more of the spectrum on a quarter wave than it will be on a 5/8ths wave. If you only operate in the ham bands, not so much a big deal. If you get outside the ham bands, I'd suggest the quarter wave will be a better performer, at least on the transmitting side.
My opinion is the Antenna Specialists is the better choice of the two. Don't forget to look at other brands, I've personally had very good luck with Larsen, in fact I use them pretty much exclusively at work and I've not had issues with them. I've been using them for my own stuff for about 20 years with good luck also.