With those personal specs, I would save up and get a Greenspeed!
A GTO or GTR is about twice your budget, but it will be the right trike the first time.
And it appears that you have "fallen" for the recumbent trike idea!

You could keep your money handy and shop used, to get a good trike for less. But when they are offered, they tend to sell pretty quickly.
I recently sold a used Trice X2. I listed it and didn't hear a peep for 2 weeks. Then the first inquiry came in. Too pricy for that buyer. The next contact was from a lady who sounded like she would be at my doorstep within the hour.
With the $6,000 in hand!
Turns out she was in Arizona, so we met a few days later in L.A. Done deal!
And then I had to field about 3 dozen other inquiries before I could pull the listings!
(that trike sells new for $14,688!!!!!!)
So good deals on recumbent trikes ARE out there, but you had better be ready to JUMP ON IT!
Exception; I found a listing for a Greenspeed GTX on the LBS bulletin board for $2,900.
5 months later, it was mine! For the total price of $2,000.
I looked at the Greenspeed website, retail with all the accessories that I got with it, would have been just shy of $8,000. (I'M a happy camper!)

All it takes is "Ready Money!"