Here are my thoughts...
I always encourage people to start with a queso fresco since you press it but you don't have to age it before eating.
I recommend queso fresco because you can learn the basic cheesemaking techniques and "work out the bugs" on a cheese that you don't have to wait for weeks or months to taste. The Queso Fresco recipe I use utilizes many of the same processes/techniques as an aged cheese without having to wait through an aging process to determine if you need to make changes to your process or have a failed cheese. When I started making pressed cheeses, I think I probably made at least 20 of these before moving on to aged cheeses and it gave me a really good foundation due to the opportunity to learn what the issues were when the cheese was too dry, too moist, rubbery, etc. After having that experience, I started making some recipes that required aging and they have all turned out quite well. I attribute that to the early queso fresco making.
There are various queso fresco recipes out there and they are QUITE DIFFERENT. If you would like, I could send you the recipe and procedures I use through a personal message.
Let me know if you'd like the recipe - and hope you enjoy cheesemaking as much as I do!