The main issue for many people with disabilities when riding recumbent trikes is getting on and off them..Once you are settled it is all easy enough (except pedalling uphill!)
Some trikes lend themselves better to being adapted than others, but as SNSSO says adaptions can easily be made to accommodate one handed steering (there is some very inspiring footage on YouTube of a lady who rides a recumbent trike despite having no hands) Tadpoles (two wheels at the front) tend to be more stable than Deltas (one wheel at the front) but Deltas are often higher and therefore easier to get on and off.
I would guess that a trike with indirect steering will be better suited for you than a direct steering model.. (indirect is where the handlebars are fixed to a pivot on the frame with steering rods that connect to the axles. Direct is where the handlebars connect directly to the axle stems - this tends to make it more twitchy and sensitive)
If balance is an issue, a model with a wider wheel base and the front wheels nearer to the seat will be more stable than a model where the wheels are further forward)
If you want to look to see what I mean in the above descriptions, have a look on
ebay at recumbent trikes and you will see very reasonably priced models called Performer some have direct steering with the wheels nearer to the seat whereas others have indirect steering with the wheels further forward. (I own a Trike E - it is narrow and long with the wheels quite a way forward so it is not as stable as some - but is more comfortable than a shorter non suspension model might be)
There are definitely some experts on here that can give great advice - but if possible try a few out to see what works for you. If we know where you live, someone may be able to help you who is local to you.