Aramid is a type of nylon, and afaik epoxy does not stick well to it. You could probably use other resins.
Kevlar is made into epoxy prepreg frequently for certain aerospace applications. I believe you could make an epoxy micarta using it.
I'll defer to DeadeyeLefty on fuzziness or sanding the result. I've made Kevlar prepreg, but I haven't made laminates out of Kevlar. Lots of graphite and some fiberglass, but not Kevlar.
There are certain advantages to prepreg over wet layup.
1) prepreg has a more uniform fiber to resin ratio. This gives more uniform structural properties. Important for engineers designing aircraft etc, but I think not for knifemakers.
2) Prepreg is faster and easier to layup. And it's a lot less messy. This is especially good if you are doing high production rates.
3) Prepreg lets you produce layups using resins that are not flowable at room temp. (I've made experimental wet layups using such resins. Trust me, pouring hot resin is a pain in the tail.) When prepreg is made, resins are typically thinned with acetone and the cloth is run through it. Then you run the stuff through an oven (very Carefully!) to drive off the acetone. That leaves you with resin and fabric. (Spent a while as the site chemist at a prepreg plant.)
The disadvantage to prepreg is that it's expensive. (After all, you're paying folks to run acetone through an oven.) Most prepregs are heat cured because it gives you a longer working time before it sets up. But there are a few room temp cure systems available.
Blushing: These days I work as a materials engineer, but my degree is in chemistry, and I spent a fair amount of time as an epoxy resin chemist formulating paints, adhesives, and a couple of composite resins. I've always considered the "blush" to be a reaction of very reactive amines with CO2 (they form a compound called a carbamate), although dampness does play a part. The more reactive the amine curing agent, the more likely you are to see blushing. My advice would be not to cure a room temp epoxy at less than 75°F. Lower RH is better too. The rate of the epoxy reaction slows down as the temperature drops. It drops faster than that of the amine-CO2 reaction. You want the amine to react with the epoxy rather than the CO2 in the atmosphere. Best advice, though is not to use a super-fast curing epoxy. The super-fast ones use more reactive amines that will be more likely to react with the CO2. Your sales rep was kind of telling the truth. Darn near any amine will react with CO2 given the proper conditions. But some are more likely to than others under normal conditions.