After spending $3200 on a lens, I wouldn't cheap out on the teleconverter to use with it.
But, I probably wouldn't buy both 1.4X and 2X. Think about it... with the lens alone you have 120-300mm covered... a 1.4X gives you 169-420mm equivalent. A 2X would give you a 240-600mm. The lens used with and without a 2X gives you every possible focal length from 120 to 600mm. A 1.4X gives you every possible FL from 120 to 420mm.
So, if I really needed 600mm, I'd just get a 2X and skip the 1.4X. A 2X might be my choice if I were using the lens on a full frame camera, for example. However, if using it on a crop camera, a 1.4X might suffice (I rarely find need for longer than about 400mm on a cropper).
Either way, I'd probably just get one TC and use it... If the other one became desirable sometime, it's easy enough to get it then.
I've not got the Sigma lens, but it appears to work well with a 2X and it's probably even better with a weaker 1.4X.
So I'd probably rent various TCs and try them out, to see which performs best with the lens, then buy whichever is best.