And if you have a Hilton AMEX card you can get four nights for 125,000 points with the AXON.
The Hilton Bs As will let you charge all kinds of things to your room - remise taxis, even meals at some restaurants (including Cabaņa Las Lilas,) but since these are not hotel providers, don't expect to get HH points for them. I'd also watch your credit card statements for a couple of months after you return home from Bs As, BTW.