My situation is alike. I stayed in Canada for 10 years (from 4 to 14 years of age) My parents came back to Argentina when I was a minor and we never went back. Today I’m 34 years old with a husband and three children.
What route should I take? Question 1: Apply for a PRTD? Knowing that most likely it will be rejected. Question 2: Or should I renounce and apply for a study permit after I choose a college?
My intentions are to live permanently again in Canada with my own family. This is my only option because we’re not elegible for EXpress Entry (we are independent workers) That’s way maybe studying is a gateway To staying in Canada.
Important question 3: If I renounce Pr status , is this going to enable to apply again for permanent residence?
Others can comment as well but
1)a PRTD would likely be rejected given you have failed the residency obligation by 20 years. In applying after all this time the process to revoke your PR status will probably start. You have no H& C case even having been removed as a minor given those cases only really stand a chance if someone applies when they are approx in the 18-22 or so age range.
2)if you do not qualify for EE then a study permit followed by a PGWP to gain Canadian experience is likely your only path but this would be a 2 to 5 year plan and at 34 age starts to come into it with a EE application, not impossible but something time wise to keep in mind.
Assume you have investigated the study permit requirements that course must be relevant to current qualifications, improve prospects on return to home country and be prepared to show ability to pay fees of approx 18000 CDN and living 10000 CDN per year. With a family this may add to the finance requirement.
And yes you would need to renounce PR to apply for a study permit.
3)Renouncing PR makes no difference to any future PR application which would be assessed based on conditions at the time of application,
For your final question sure you could head for the US / Canada land border but after 20 years the chances of being reported are high. Whilst as a PR you would still be entitled to enter the country and if reported stay pending an appeal with a 20 year gap chances high would fail.
If by some fluke you manage to enter without being reported you would need to stay put without leaving for 2 years, possibly being away from your family , before you could apply for a new PR card. During this period it is generally advisable to have little contact with immigration so that includes not applying for any sponsorships of family members at least until the residency obligation has been reset.
As also said appealing a PRTD refusal on the basis of being removed as a minor probably would fail given would be questioned why you did not apply once reached 18-22 age range, not 34 with a family.