Cutting out the back and forth when scheduling an appointment will save you a lot of headache in your inbox. One way you can do that is use a third party website, like Tungle.me or use a public Google Calendar. Then you can send one email, and the person will reply with a time you know you are available.
Schedule a Meeting
Dear {{first_name}},
I'd love to set up a time to meet.
Here's a link to my {{public calendar/tungle.me}}: {{insert link}}
If you see that we're both free, go ahead and send me an event invite for a time you'd like to meet!
Looking forward to it,
{{Your Signature}}
Obvioulsy this means you'll have to make use of your Google calendar in order to do this, including blocking out time you don't want to be available for appointments. If you're interested in finding out how to make your Google calendar public, click here: http://tout.ly/oZbQQB
Schedule a Meeting
Dear {{first_name}},
I'd love to set up a time to meet.
Here's a link to my {{public calendar/tungle.me}}: {{insert link}}
If you see that we're both free, go ahead and send me an event invite for a time you'd like to meet!
Looking forward to it,
{{Your Signature}}
Obviously this means you'll have to make active use of your Google calendar, including blocking out times you don't want to be available for appointments. If you're interested in finding out how to make your Google calendar public, click here: http://tout.ly/oZbQQB
In Conclusion...
Don't get caught up in the back and forth when there's a better, faster way. It will save you time and energy, and keep your inbox looking trim.