I only agreed with you as you seemed to be saying it worked for you and was something you wanted to do… Personally, I’m not a yogi I’m a qigong practitioner, and there’s no need for such a thing in qigong - so I would never use it, the reason being it requires muscular tension, and tension blocks energy flow, so I actually don’t agree with the yoga tradition that says it’s useful, and I don’t see what it’s got anything to do with water, I think it’s counterproductive.
So, in this case, I’d say drop it, and simply place the tongue broadly flat to the roof of the mouth as comfortably as possible, knowing it completes the circuit that passed through the roof of the mouth, through the tongue and down the throat. basically not having the circuit connected is the same as a block.
To help cool down, as well as using food with helpful element correspondences, you can also visualise cultivating (breathing in) energy from very cold places. The Arctic works well. Also take a cool shower before or after the meditation. There’s a lot of tools available to regulate your energy like this.
There’s more info and ideas in a couple of books that exist on the water method of Taoist meditation - I mention it on here from time to time for clearing blocks, I’ve added it to the bottom of this post on qigong books: