I remember breaking a chain tool under similar circumstances ! In the end I took my chain to local bike shop, they fitted the link, and I fitted the chain( I had the swing arm out for maintenance).
TBH I do wonder if its worth just getting a good bike shop to fit the chain and pay them to do it.? I always think there are jobs which I have the tools/ skill/ time to do myself and make a decent job of...and times when I pay a professional.My theory is if I like to do a job I will make it a good job. and vice versa.
Having said that , it can be very rewarding to strip yer bike down, give it a good clean, then put back together again.