After years of forgetting to change my volley grip for the backhand and floating it, I have decided to use the continental grip for both. for those who do this, does it make your forehand volley feel a little unnatural? Is there any way you have to compensate in your volley technique to make this work?
As others have said, you should use just a continental grip for your volleys on both sides. You don't have time to change grips, and it's actually the better grip to use anyway. On your volleys you want the racquet to face open (i.e. facing toward the sky) when you hit the volley. That open face helps imparts the backspin that a good volley should have. The continental grip allows you comfortably attain that open face on both sides. It's also way, way easier to hit low volleys with a continental again because your racquet face is naturally open.
Specifically for the forehand turn your body about 45° toward your forehand side keeping both hands on the racquet. The racquet will rotate around with your body. That's your backswing. Don't take the racquet back any more than that. Move the racquet forward towards the ball and, in general, step with the non-dominant foot (i.e. left foot if you're right handed). Your racquet face will be naturally open and that's a good thing. Your stroke toward the ball should be short. The contact point is a bit in front of your non-dominant knee that you have stepped forward with. The stroke moves somewhat downward to help impart backspin, but it is not a chop down, but more forward than down. Once you start your stroke and have the racquet angled the way you want it, maintain that angle and you move the racquet forward.
Dave W. Smith's book, Tennis Mastery, has some great stuff in it with pictures. There's also lots of good youtube videos of pros hitting. Edberg, Sampras, and Navratilova are great ones to watch.
Dave also recommends practicing a volley by catching a beanbag with the racquet that someone tosses at you. That drill will help you keep your racquet face open and also encourages you to keep your racquet out in front since you're trying to catch the beanbag instead of hitting it.
Rich