I totally forget number of Bitcoin transaction, but you still could :
1. Check it with Tor Browser to reduce privacy risks
2. Make request for your address and some random address (e.g. another output address of CoinJoin transaction)
I know it won't do not much, but it's better than nothing.
I create a watch list with a longish list of addresses, only 1 is the one I really want to watch. And then randomly flit between 2 other watch lists with completely random addresses picked up all over, so yeah, it's not hiding it but obcuring the view of it. It's not perfect, and there will be no perfect way but I agree, any kind of misleading or obfuscation is better than nothing.