Hi.
Thanks for that clarification.
I also thought initially the gbp 300 rates were per night but 96/108 is very good imho
In addition to the waldorf , perhaps consider the Trafalgar curio collection by trafalgar square.
the biltmore lxr might be nice but might be a bit more expensive and if you are going to be out and about most of the time ut might not be worth the extra cost for the biltmore.
Regards
Tbs