I have a boat of that type, but not a Pelican. Mine is from BassPro and I think is even called a BassTracker. I've had it for a few years and have gotten a lot of service from it.
Yes, it's stable. I think that it would be difficult to turn one over, but you definitely can fall out of one. Yes, that's the voice of experience speaking.
Positives: Shallow draft, easily propelled by a trolling motor, comfortable seats. Mine even has a live well. Nice for drifting calm water (see negatives). Great for one vehicle floats where you put in, run upstream with the motor, then float back to the put-in point. Great for small lakes where gas motors are not allowed.
Negatives: Not easily used with paddles. A bit heavy and awkward for one man to handle. I have a small boat trailer for mine, but I have seen people using little flat-bed trailers for them. I wouldn't recommend it for anything that could be called rapids because it is not very responsive to the paddle and will get sideways on you. Avoid excessively choppy water; the waves will splash over the sides.
So like anything else, it depends on your situation and needs.