What type of connector to use for pressure contact?
Mill-max makes spring probe strips and buttons (See http://www.mill-max.com )
If you had two little PCBs you could put use the spring probes to hit large 
pads. You would need to apply constant pressure to insure the contacts
stay mated. 
There are conductive elastomer strips in a variety of sizes. The elastomer
would connect two PCB pads. 
Spring probes for in-circuit testing could work too. 


I would look at the Mill-max contact strips first.