Welcome to the forum! I'm busy this weekend and next but I'm looking for walking/scrambling/climbing partners over the summer. Feel free to message me if you're looking for a partner anytime. Hopefully this will bump up your post and you'll find someone to join you on the three peaks this weekend.
Leeds Mountaineering Club are doing the Yorkshire Three Peaks walk as a day trip on Saturday 30th June. If you get in touch with the club, you'd be welcome to join in and I'm sure someone would offer you a lift from Leeds too.