What are the best ways to travel from Phuket to Ranong/Myanmar without a tour company?

And travel advice to a border is not real Thai Visa advice, for travel advice you can use Google. Good luck.

I would recommend a motorbike taxi to Andaman Club, instead of Victoria point.

Quick speed boat takes you to a hotel (with casino and duty free) where you stamp into Mayanmar. You can come straight back on the same boat you arrived on, or you can spend some time at the hotel. Boats back to Thailand leave every hour or so.

Go to Phuket Bus Terminal 2, take your ticket to Ranong first counter on the right (225 bath) and jump in the bus (main direction is Chumpon). Only 3 bus per day : 7:10am 4:10pm and 6:10pm