You can fireform with pistol powder, corn meal and a paper wad, this is the cheapest way to fireform.
The biggest thing I recommend with something like this is that unless you really need alot of formed brass, just form up 50 rounds of brass. With a case like the 338 Lapua case, they will last a long time so its not like your going to wear your cases out every 3-4 firings.
Fireforming is a pain to some degree and doing a full 100 rounds is also a pain.
As far as fireforming. Most will tell you to use Unique handgun powder. It certainly works but when I started offering formed cases for my customers in my wildcat chamberings I realized that putting 20 grains of powder in each case started to add up when you were forming thousands of rounds. Does not sound like much but when your running a business, your concerned with every penny you can save. As such, I started playing with faster handgun powders and settled on Green dot.
In my 300 AX which is very similiar to the round your dealing with, I used to use 20 grains of Unique to form brass, now I use 13 grains of Greendot so I save a substantial amount in cost and the end result is the same.
Some will say this is hard on the throat and acts as a bead blasting effect on the bore. I am not sure I agree with this but its possible. I have several thousand fireforming loads down my fireforming fixture barrels and they still look very good once I clean them up but I wanted to mention it.
If your only going to do a limited number of rounds, it will not be an issue but if you try to form up 500 rounds of brass you may see some issues in the throat.