I know what you mean about not knowing where to put my tongue!! I have a slight tongue thrust too, so swallowing is a challenge as I kept wanting to push my tongue into the new gap! I managed to come up with a way of tilting my head to the left and kind of 'sucking' the spit to the back of my mouth - think Hannibal Lectar in Silence of the Lambs, that's the attractive noise I made! I also found it nice to keep the gauze in place, as at least I could swallow properly without worrying about the clot dislodging.
I have now managed to have a cool cup of tea, though I'm obsessed with checking that I haven't washed away the clot after every swallow! I'm now about to brave some 'warm' soup as I'm hungry (I did want mashed potato with baked beans squidged into it, but my boyf has persuaded me to go with the easiest option and save the potato for tomorrow

I hope my extraction sites heal as well as yours have. I pity you having all 4 done at once - I thought it would be the easier option, but I don't think I would have been able to swallow or control my drooling if both sides of my face had been numb!
SK