I'd bet you will soon have more razors in your possesion, if you are anything like the rest of us.
I have a goatee as well, I use wedges, hollow razors, french points, framebacks, spike pointed, round nosed razors (humm, did I forget anything) ranging from very small indeed to rather large. They all work well, goatee and all. Oh, and that razor of yours is mighty purty already

Looka here: how many razors do people have in their shave rotation?

Best of luck.