Try your fuel pump, or your fuel pump screen.
There are symptoms of studdering/stalling when the pump/screen is bad. It will NORMALLY be more pronounced when the car is less than 1/4 tank, but that is not a definite, I suppose.
If the studdering is a more "steady" rate, but it isn't "steady", if that makes sense.. like..
steady as in.. "always there", under certain conditions. (heavy acceleration)
but not "steady" as in "a repetitive rate, like every .5 sec, or anything.
It could be plugs/wires... When is the last time you changed them/those? What type? did you gap them yourself? are they double platinums?
How long has the problem been there? ( I know, 2-3 weeks, but did it just "appear" there, or did it just get NOTICEABLY worse in the past 3 weeks?
To reiterate:
problem possibilities:
fuel pump
fuel screen
plugs
wires
Things to do/check:
fill the tank (eliminate the pump part)
check under hood for white "rings" on your wires, signs of arcs coming through the rubber.. or for sparks arcing to the chassis/engine at night.
check your plugs.. should be free of oil/gunk..
HTH
and let me know what you find out.. I am anxious to know what happens..
Ray
PM me if needed..