Hi ya there Jumpin Jack
Personally, I would modify the rudders with Plasticard & when you are happy with the results, you possibly could make it permanent by filling in the void between the Plasticard sides and the bottom of the rudders with Milliput.
Increasing the size of the stabilizers may help, but, I personally think, you would have to at least double the size before you would get any noticeable improvements.
When you refer to stabilizers, do you mean, the fins that stick out of the side of the boat which look like side rudders, or are you referring to the thin strips which run along the bottom which are in fact bilge keels? ?(Not being funny but, I know several of us get these confused)
As far as rolling on these models, it does take time for you to get used to the alarming rate to which they do roll. ?As I have said earlier, what I used to tend to do and still do with models is, when I first put them in the water, I roll the boat by hand until I feel she has past the half way part where you know she is going to turn over and I take note of how far she is actually leaning over. ?This helps to build confidence in yourself and in the model and, when she is in the middle of the Lake and you are watching the model and you see it starting to list, you have a picture in your mind knowing how far she can go.
Dont get me wrong I have done this wrong before ?:-[ ?and yes the South Shields Marine Park Lake has a very muddy bottom and a big audience ?:-[ .
I am going to post a picture of HMS Manchester that I made but sadly no longer own her, but, I have the plans for HMS York ?

Hope this is of some help.
Aye
John E
Bluebird