Hey
Maybe think of what gave her the idea that you were cheating??Is that the reason why this has gone a bit off course.?...I agree with Fozy..suggest a meet somewhere neutral..or better still Can you email her? tell her how you feel, emails are a great way to express or you could write a letter to her..Texts are a bigg no no..u can never see the exact way that you are speaking via text..
The only way you will know if she wants you back is by asking, but I can see why you are reluctant, it can be a case of whose gonna chase who to come back..The fact that you both get upset when you speak is a good sign that this has been a good relationship and sounds like its a waste to let it go. You dont get nowhere sitting and wondering and lifes too short to do that.
Honesty is probably the best thing for most women ,then we know where we stand when we know how our man feels..Whatever you do or say is a gamble,but if its meant to be then you will know one way or another..You can still go out seperately when you are in a relationship,you have to keep your own interests,but it all comes down to trust and it takes ages for that to develop..
Good luck and hope it works out..