10F200 has 3 outputs for LED control and 1 input. If you find the 10F202 is the same price, it is the same but with more program and data memory so may as well get that instead.Yes, this is due to lack of available memory registers, right? Are you sure that PIC10F200 is able to deal with the task at hand to begin with? How can you tell, other the from experience? Is there some sort of metric you are going by? To how many separate LEDs can the PIC10F200 send instructions to?
If you need more than 3 outputs the 12F508/509 has 5 outputs and 1 input and may not be much more expensive.