I agree, it sounds like she is rolling – it's a minority of babies who roll over and over as a way of moving around. If she can roll back to tummy and tummy to back, then she's rolling.
In terms of entertaining a very nosy, high stimulation needs baby (I had two of them!), have you tried the pram seat, rather than the bassinet? It will be better for her than lots of time in the car seat attachment, but still let her see out. I also found the cot was the easiest place to learn pulling up and cruising – all those bars to hang on to, nicely sized for tiny hands to grip. DD1 in particularly used to like a cot practice session at least once a day, whilst I chilled in the room with her.
If she likes being on her knees, try putting toys on a step or a conveniently sized box so that she can play on her knees. Similarly, if she'll stand leaning against the sofa or footstool (which will probably come soon, if not quite yet), she can play with toys that way, and it will naturally progress to learning to reach down to get a dropped toy and get back up again.
The idea of 'toys' at this age also includes all baby-safe household objects – different bits of fabric, random small boxes and jars, a wooden spoon, plastic container, saucepan lid, etc., which helps ring the changes. Things like stacking cups are also good because they can be played with in many different ways. Baby won't be able to stack them yet, but she can knock down your towers, bash them together, find things hidden in or under them, etc. A homemade sensory bottle with, say, rice and some coloured beads, or oil, water, and a bit of food colouring (very well sealed!) can also be good because the contents of the bottle change depending on how baby moves it.