Hey Graavy,
Not only do I NOT think it's weird, but I think it's awesome!
Good for you!
I'm just curios - you said you were talking to her every 2 weeks, and now you haven't talked for 5 weeks. Was this planned? Or did it just happen.
You said you didn't want her to think you sent the letter because you wanted her to call you again. Do you want her to call? Could you call her?
You don't have to answer....I'm just thinking out loud.