If I could actually play guitar, I might try playing it like:
-------------|--3--3--3--3--
-------------|--0--0--0--0--
-------------|--0--0--0--0--
---------0h2-|--3--2--1--0--
-----2h3-----|--------------
-3h5---------|--------------
Haven’t got a clue if it’s right, but it seems to sound OK.