Cool, I hope you stick with the art and enjoy it well into your 90s and beyond.
At my academy, and in most of the Straight Blast Gyms, we don't allow the white belts to free roll any longer. It took me some time to get on board with this but now I'm fully on board. White belts don't know enough to roll. There are exceptions but for the most part they resort to doing whatever they can to survive which often means using attributes, and ending up frustrated, and/or injured. It's even worse when you have two white belts going at it, what exactly are they going to do? They don't know anything yet so they do what they've always done, which isn't BJJ...
Here's an example of how we do it; say I'm coaching knee slide guard pass. After working the technical side of it for 20 minutes, what we call the intro phase, we will then move into isolation phase. This means I'm going to put the timer on, put some metal on, and then one guy has a 3-5 minute round in which he attempts to work his knee slide guard pass while the other guy attempts to stop him. Here's the parameters; as soon as his knee its the mat on the other side of dudes leg, he has to reset. I want him to keep track of how many times his knee gets to the mat. That's as far as I want him to go. He gets to work against resistance, he gets to feed his competitive side because you know they are comparing numbers on who got the most knee touches... And they get about a hundred reps in on a fundamental guard pass, against resistance, within a structured environment. It's kinda rolling, but it's not. No one gets hurt, everyone now has a solid base built on a fundamental because we'll do this for a few weeks. Each week adding another step to the "finish" so that by the final week they execute the knee slide, and establish side control, THEN reset. Still not rolling, but it's close because there's lots of resistance.
This is how we do it. Not everyone digs it but the results convince me it's the way to go. My injury rate among white belts is almost nil. My 6 month white belts now are far ahead of where my 6 month whitebelt was when we didn't do things this way. We do this for every position with our white belts prior to them getting their last stripe. By the time they get to blue belt they are fundamental, and positional monsters. I wish I would have started this way. It would have saved a laundry list of injuries and frustration.