How much rabbit manure to use?

I just got access to all the rabbit manure I could possibly want! How much can I add to my raised beds? I was thinking a few inches, gently turned in with a fork, like compost. Is that too much? This is for one bed where I will grow tomatoes and squash and another bed with root vegetables. I'm short on compost this year, so I want to use as much manure as I can.

I love rabbit manure as it doesn't burn the plants. Unfortunately you have to be careful how much you put on tomatoes. We over did it the first year here and had huge healthy tomato plants that didn't bother to set much fruit. I'd probably top dress with a couple inches and put the rest in a compost pile if we had the opportunity to do it again.