Answer:
Dear [Friend's Name],
I hope this letter finds you well. I have been thinking about you lately and I miss spending time with you. I was wondering if it would be possible for me to come and stay with you for a few weeks.
I understand that this may be an inconvenience, so please do not feel obligated to say yes. However, if it is possible, I would be forever grateful. I promise to be respectful of your space and to help out in any way I can.
I am looking forward to catching up with you and experiencing your town. Please let me know if this is something you would be comfortable with.
Thank you for considering my request.
Best regards,
[Your Name]