Yes baisl can be dried and it is very easy to do in your oven or even the microwave. I prefer to just freeze mine. I freeze the fresh leaves whole packed in zip-lock bags. I add just a little water to the bag to cover the leaves in the bag. They will be limp after thawing and useful mostly for just adding to soups or sauces. You could also make a pesto with them and freeze that in cubes and then toss into sauces as needed.
Dufus me, I love pesto and never thought to do that. I’ll pick some tomorrow and make a partial pesto. Thanks for the mind jog.