Consider getting an inflatable one that you can easily transport. I bought my first one off Amazon for around $200 with a pump. The pump was very cheap and broke after about 10 inflations. The board is still good, though. I bought an electric pump, which works great.
I bought a Body Glove board at Costco around Memorial Day last year. I believe the retail price was $400–$450, and I got it for $300, including an electric pump. A lady let me try hers a couple of summers ago, and I was hooked. I can’t wait to get out on the water again. It’s a great way to get sun and exercise at the same time in your thong.
I haven’t been out on my paddleboard in just a thong yet. I usually always have one on underneath my swimsuit, just in case I feel comfortable enough to do so. I also don’t know of any spots here in Utah that are okay with thongs. I feel like Utah could be a difficult place to do so because of how prevalent the LDS church is here. But, if anyone knows of any good lakes or rivers here that they have had good experiences with paddleboarding in a thong, let me know!