It's funny that u are in a situation like this one...!!!
I fly a heavy turbo-prop for 12 years with almost 7000 hours on type and believe me for the last 3 years i ve been trying to get onto a jet....BUT it's impossible!!!
Everybody is looking for the type rated guy with more than 500hours on jet.
As u can see i am stuck on the opposite side of the one you are at.
My advice is don't hop on my side...
By the way i make more money than all my friends on A320 and b737 but still i am not happy...i am fed up of the turbo-prop and i am thinking of resigning forever from aviation
Good luck whatever u decide....