Personally, don't see an issue with it. As said, with Arrow experience it shouldn't be too much of an issue.
Just ensure that the training is comprehensive - I'd build confidence at larger fields before trying something a little on the shorter side. One way of building confidence would be to actually do your IMC in it before flying her solo. However, find someone with a solid rep on the PA32 and IMC teaching.
Insurance may also dictate a minimum 'dual' time before P1 but shouldn't be too difficult to find.
Finally, unless you're doing a significant amount of over water flying - why rush to get a second engine? Not much twins can do these days that can't be done with a good high end single. (and that's from a ME Instructor!)