I am assuming the garage has a DPM and heated.
And yes, cramp the boards, but I would not secret nail.
You cant get joints up tight enough with a screwdriver or a lever to counteract any moisture shrinkage if the garage is heated.
If you don't get them up as tight as possible you will get shrinkage gaps later.
With a traditional cramping method secret nailing is not an option, but if your using solid wood, what is wrong with visible fixings? You may as well fit engineered wood if you want a modern look.
If you cramp, you cramp in blocks not individual board runs.
Firmly fix board no1 against a wall and place at least four or five more board runs on the battens, cramp the last board run with several cramps along the full length of board (sacrificial timber is required between cramp and board).
You will know when the boards are tight as board run no3 will lift/bow up off of the battens, as you apply a little more cramp pressure boards 2 and 4 will start to rise, do not over cramp now as the boards spring up and will break the T&G.
Walk onto your boards and check that your body weight pushes the boarding back down onto the battens, you may have to bend at the knees and put some spring into it. If not release cramp pressure.
It is a compromise between getting as much lift in the boards as you can without them breaking open but not too much that you can't get them down flat again, as the smaller the space you allow for the boards to fit into the tighter the joints will be.
Now firmly fix down the cramping board no5 and then 2,3 and 4.
You could pilot drill and and skew nail with floor brads, the oak will cause the brads to go black, but this could be an aesthetically pleasing feature, alternatively counter-bore, screw and plug with off cut oak board.
You asked how do you use cramps with infill insulation?
By cramping 5 rows of boards you can leave out the insulation where the cramps are. When first rows of boards are fixed remove the cramps and replace insulation and so on.
"Tip" buy or hire a moisture meter and make sure the wood is around 7- 9% before you fix them down.