If you have access to a true Mass, is that not enough? the Precious Blood, is there! Christ is there!  Why do we think that we must go around the world for a favor?  To go on a pilgrimage is full of Indulgences, true.  But nothing on this earth can top the Mass!  It would be better to be without the Sun then to be without the Mass.

Nearly all pilgrimage sites are under NO ownership.........
I have only an SSPX chapel nearby. Should I attend their Masses?

Why is it that at the same time, you are concerned about the NO and unsure about going to the SSPX for Mass?  

We avoid the NO and all things NO like the abomination that it is, because it has proven deadly to the faith of millions over the last few generations - proof of this is super abundant. This is something we know, something we can be absolutely confident of, something unquestionably certain that we can be sure of without the least bit of doubt.

The SSPX has the True Mass and sacraments, this is also something we know, something we can be absolutely confident of, something unquestionably certain that we can be sure of without the least bit of doubt.  

We are obligated as Catholics to assist at the True Mass every Sunday and Holy Day of Obligation under pain of mortal sin unless we have good reason to miss it.

What is your reason for questioning whether or not you should attend the True Mass?