Give it a couple weeks to be safe before painting, 1 coat primer and 2 coats paint is the best. Use elastomeric paint if you want durability, a bit more expensive but worth it. 3/4" nap roller should do the trick. Good luck!
The primer is not made to "cover" and it will not. The finish coats will cover ;and a 3/4 nap will be more than enough to get in the grooves.One thing I worry is when I put on the tinted primer, I can see where the primer may not have coverage in the grooves and I will probably use a brush to make a nice even coverage of the grooves, guess I will find out. Is there a special kind of 3/4" nap rollers I should get to maximize having to brush finish the grooves?
But when I get to the actual finish coat, I am wondering if I will be able to tell where the finish coat may not be spreading into the grooves of the texture, since the tinted primer, with the recessed grooves, may not look visibly appreciable.