Traditional HELOC aren't meant to be transactional, so those transfers need to be done manually which gets very laborious. 

If I close on the property subto, can I continue her delinquent tax contract of 1k pr/mth or would the taxes now transfer to my name?

Job transfer? 

It's very easy for those "prying eyes" to see your transfer from the original title to the LLC (in California?)

If you are moving it from a personal name to an LLC there is an exemption form for taxes you also have to fill out and file along with transferring the deed.

@Larry Zucker The proposed law change here (I posted the full text above) would expand the definition of brokerage services to include wholesaling -- 2 or more transactions in 12 months and regardless of whether for another person and regardless if by assignment, entity transfer, option, double close, etc.

California has a $800 minimum franchise tax per LLC per year (and it could be higher depending on gross receipts).LLCs allow for orderly transfer of wealth upon death through an operating agreement.

Once you transfer the ownership to the LLC, you individually do not have an interest in the property.  

Was just transferred 4 months ago.

This cash transfer is the only reason that you have not seen capital calls but rest assured 1) those GP loans sit ahead of LP equity and 2) capital calls are still coming.