It shouldn't cost you that much to get T privately. Where are you looking at? It's normally around £450 for the appointments, plus travel obviously. Look around for the best way to travel, such as advance tickets on trains or coaches. You can also try to arrange to have both appointments on the same day, although this may mean you wait longer. Make sure you set up a shared care agreement with your GP too, so that you only have to pay standard NHS price for the T - £8.20
Also, how on earth did you wangle money for private? I've never heard of that before.