psychlifer

Do you want to go into academia or practice? 
If academia: Go to the student's admissions, outcomes, etc. pdf on the Counseling Psychology program's website, each APA accredited program is required to post this. First make sure they have a 90-100% match rate for APA internships and then scroll all the way to the bottom for licensure %. If the % is above 90% of graduates, the program may be more clinically oriented. Other things that are important is your POI's research productivity, are they publishing consistently and in top tier journals (Journal of Counseling Psychology etc.). 
If you are interested in clinical practice: Does the program have a dedicated Director of Clinical Training, ie. are they faculty taking on students conducting research or clinical faculty. Does the program have a clinic where you can get your first practicum experiences on-site? and Is there a good variety of externships available to get supervision hours locally/some schools you need to travel an 40mins-1hour to get good externships. Make sure to check the student's admissions, outcomes, etc. pdf and see % of students matching to APA accredited internships. If my primary goal was to practice I would only consider schools with 100% match rate the last 3-5 years.

Go with the program you're most drawn to. You can weigh funding, prestige/ranking (if that's something you care about), location and costs of living in that area as well...You can even weigh if you would prefer to stay in that area after networking and completing your PhD. Maybe how well you clicked with the POI/faculty & other students. I mean...it all comes down to you and what's important for you during the next 5, tumoltrous years. Best of luck! 

Let each school know you have a scheduling conflict but are trying to resolve the issue promptly. Ask each if they happen to have an alternate interview day (many schools do). If neither does then pick whichever one you'd rather go to and ask to do a Skype interview for the other. If only one has an alternate then attend that and go to the originally scheduled interview for the other, and if both have alternate days then again pick whichever original interview day you'd rather go to and email the other school letting them know that you were unfortunately unable to resolve the conflict. If they ask what the conflict is be honest and say you have been invited to two interviews on the same day. 
PS- I was offered acceptance into a program following a Skype interview so don't lose hope! It's not the end of the world.