Im not exactly sure how all the states work but if you are willing to take a long shot most states have a raffle, you can buy a ticket for fairly cheap and still get your name in the hat. I know here in California having max points doesn't necessarily I mean you have better odds in some areas, for example some of the areas that have only 1 tag will be a random draw instead of going to a max point holder. The reason why they do this is because everyone has to have a chance. Other areas with 2 to 3 tags will benefit max point holders more because maybe only 1 of those tags will go to random draw.
Also forgot to add everything stated above is for Resident of ca