Hi
Yes, we stay at the Sheraton which TC no longer offer, so we book our own flights and taxi transfer. We've used Travel Republic many times for various destinations with no problems. Lost our flights to Turkey once a couple of years ago when Kiss went bankrupt, but we immediately rebooked with another airline and TR guided us through the refund procedure so that we received all our money back through ATOL within 8 weeks.
Whether you're travelling with a tour operator or independently, it's always best to check they are part of the ATOL/ABTA scheme, and then you should be covered to get your money back if there are any unforseen problem.
Cheers♥