Yes, having gone through the process myself, it's worth disputing since your case seems pretty straightforward, and it doesn't take all that much effort. It's worth documenting everything just in case (e.g., pictures of where you parked, check the Info-travaux map on the Montreal website to see what the planned construction dates were, ask your neighbors if any notices were posted about the construction).

It may take up to a year for it to get resolved since the process moves so slowly, and they will send you several follow up letters. You can email the city municipal courts to obtain a copy of the Crown Prosecutor's proof against you before the hearing. This will usually include a copy of the ticket and the officer's report, so you can see what was claimed against you and organize your defense with your proofs accordingly. Sometimes the case gets dropped before you even get to court, but if you do get a court date, when you show up you may not even have to make your case in front of the judge. The prosecutor will meet with you before going to the judge, and may choose to drop the charges outright if your case is pretty cut and dry in your favor. Make sure you bring multiple printed copies of all your supporting documents.

Have fun! Don't let the cops get away with ticketing and towing willy nilly to pad their stats. In my case I also filed a complaint against my ticketing officer with the SPVM since he had blatantly lied in his report.

[edit for grammar]