[65 Cat 2+2]

I'm in need of some advice.
I just purchased someone else's abandoned street rod project - a 1933 Pontiac
2-door sedan. The chassis is completed, with airbags and plumbing installed, but no mechanicals.
First, I need a recommendation as to which system I should buy.
This car has little free space, so I am wondering if it is feasible to install the pump and tank under the rear seat cushion. Will there be issues with heat build-up or noise in the interior?
I'm also thinking of placing the battery under the seat. Bad idea?
I'm new at this whole street rod thing (have done several stock car restorations), so forgive any stupid questions.