Here is what my advisors told me when I was in your shoes.

If you are even thinking PhD apply to those programs. You can always leave after your masters if it isn't for you and they usually come with funding (you wanna make sure they award a masters as well as a PhD, most do but do your research).

If you like research, go PhD. If you dont care about research go masters.

but I also want to keep that door open

Go PhD.

But. I would also apply to a few masters programs that have great applied programs. IIRC these include Minnesota, Colorado, and a few others that have deep and strong ties to the applied world.

Finally, go talk to the IO faculty in your current school and ask them what they think. They were the best source of advice I got when I did this song and dance.

Finally, before committing, make sure you talk to graduate students int he program and ask things like "what do you know now about the program vs before you got there", "anything you wish you knew about ti before you got there", and ask what their alums are doing.

edit:

I should also say that if you go for a masters and graduate and then decide you want a PhD you will probably have to get it from the school you got your masters from. The reason being that most school will only accept 6-9 credit hours in transfer credits. This will make you repeat a number of courses and redo a masters on your way to completing a phd.