Years ago I spent quite a bit of time being active working on veterans legislation in Texas. Things like getting the Purple Heart license plates, disabled veterans property tax legislation and others. First going to the governor is not the method, you have to deal with the legislature representatives, they write the bills. You start with contacting yours, and you have to build a base of like minded people that will be contacting their representatives. It is a long tough row to hoe, and there is no light at the end of the tunnel until it is signed by the governor.
You have to know how the bill needs to be written with lots of details, and you have to convince them that it is necessary. Plan on spending many hours on the phone, in the local offices of your senator and house representative. But before you get started, you have to have your own organization of people that are willing and able to spend the hours to do this. I am not talking about a few dozen, I am talking about a few 100 that are willing to spend their money and time to try to get this legislation passed. The members of your group need to be spread across the state, so that it shows you have statewide support.
The odds of it happening will slim, you may spend a year or 2 getting any support, then another year or 2 getting a bill introduced to just see it die in committee. I've been there, done that, seen that and I am too damn old to try it again.