If My Ex Refuses To Give Me Her Current Address, Can I Refuse Her To Have Unsupervised Visits?

Texas, USA

Trying to keep this brief - I have primary custody of our child (7M) after a long and gruesome legal battle. Because of several attempts to permanently withhold our son from me (I didn't even know where they were for over 3 years), Ex-spouse has step orders in place, beginning with supervised visits, then building up to unsupervised until standard weekends.

We are about to have our first unsupervised visit this weekend. Ex lives in a 5th wheel trailer and has moved many times. She repeatedly claims to live in the same place as last year, but when I drove around the RV park, I didn't see her trailer.

She has repeatedly essentially kidnapped our son, and I've had to use emergency orders and writ of attachment in the past, and had the Constables get him from her.

I'm worried that because she is so mobile, and not wanting to be truthful about where she lives, that she will flee yet again.

TL;DR - Can I refuse unsupervised visits from an ex who has a pattern of "kidnapping " our child and has lies about their current residence?

UPDATE - Thank you all for your concern, empathy, and motivation. I wanted to give y'all an epic update.

I couldn't hand my son over until I knew for sure if she had moved or not, so I decided to head down to the RV park one more time. They had done some improvements on some of the lots, so I was giving her the benefit of the doubt that she had just moved lots to somewhere I couldn't see, even though I thought I had driven the whole park, which is very small. She never mentioned moving lots. There are maybe less than 20 lots in a loop. It's in the country, so maybe I just couldn't see it. I did a Google map search with the actual satellite overlay, and on a lone, go nowhere road just past the entrance of the RV park were a small cluster of 5 more pavillions that were the same size and design of ones on the park, they were placed about 10 yards past the treeline of the main park, with access on this separate road, not the main access.

So I went in the middle of the night, after my kiddo was tucked into bed (my fiance is home with him - don't worry, she's awesome). I started down this lonely road, and lo and behold, I drive right past her as she's standing outside. I get to the end of the road about 300 yards further, and it doesn't connect to any other outlet. Of course. So I just hung out for a while, thinking I'll just wait for her to go inside or whatever. I wasn't sure she saw me, I wasn't even sure it was her because i just did a drive-by on an unlit road. I didn't want to have any kind of confrontation.

Three Sheriff's deputies show up while I'm just chilling in my car. They ask me, "Are you so-and-so's ex?" Welp, that confirmed it was her! I assume she called to try and get me into trouble for driving by. I explained the whole story to one deputy while the others went down and talked to her. They asked if she was on drugs because she was being hysterical. That's what she does to get her way, or at least try to. The deputy told me, "we know her. We've had a few run-ins with her before."

After talking for a while and waiting for the other officers to get her to go into her trailer, I drove out and home!

I just met up with her at the police station and let my son go with her for the day. She didn't say a word about last night, and neither did I. I'll see if I get him back tonight.