Are you wanting to develop your abdominal muscles, or are you trying to lean your stomach out and lose fat there?
There is no such thing as spot fat reduction. If you're goal is to show your abs more you need to work on:
#1 diet
#2 cardio
There are lots of fantastic ab exercises out there that do not require any kind of weight that are not plain old sit ups.
Can you do leg lifts, bicycles, leg crosses, scissor kicks, all with your back on the ground?
There is also knee ups which you can do either hanging from a pullup bar or with a machine at most gyms. additionally there are in and outs, and mason twists if you can have your back at a 45ish degree angle and support your weight with your hands.
If you are physically able to do all of these exercises , i wouldn't consider weighted exercises for abs unless you can easily run a routine of all of the above x 25 per exercises 2x.
Not a lot of reason to my knowledge to train abs with weights unless you are trying to really strengthen your core, which you may be?