Miss Rose,

I agree with you that it would be great to have a term to use for that kind of differentiation. However, I actually think that the term "Bizarre Lady" is a bastardization based on how it is pronounced... I believe the proper term was originally meant to be "Bazaar Lady".

Bizarre implies strangeness and something being "off" about a person, situation or behavior whereas a "Bazaar” is a marketplace where you have a bit of everything being sold. Based on the negative connotations of the term bizarre, I don't see it ever catching on in the US.

On the other hand, Ramona Ryder is the only Domme I know of who openly advertises and offers these combined services (unless you consider bondassage to be the same thing). She uses the term "kinky amour” to describe it:

https://www.ramonaryder.com/

Personally, I don't like that term either because it puts it way too much in the escort realm. The term "Full Service" might be useful as a term to differentiate the services provided (just like bondassage is). Unfortunately, I don't think that works as a title in the way that Bizarre Lady does so I don't have what I feel is a really good suggestion.