Whether you study at Hawza or at university is not that much important rather you have to maintain your religion and religious values. Of course Hawza is a better place where you could do that easily if you have selected the right wing. Going Hawza just after high school is neither possible nor a good a good idea. But if you are planning to the go there it’s better to join Hawza after your intermediate certification atleast. But if you can afford and manage your responsibilities for your family, then moving to Hawza at this stage is worth because you can join you hawza without any tension regarding your economic situation. Allah is the Best planner.
These discussions relate to you if you are planning to go to Qom (Islamic Seminary) then it would work otherwise if you are planning to join any local Hawza inside the Pakistan then it better to join it in your young age.