Yeah, Rhodes must be really fine boats. They probably cost more than the OPs Pearson 30.
I've seen used R19's in good condition go for $2000 (with a trailer); more likely, in the 3-4K range. I don't know what they go for new, but I'm guessing around 20K. Since the OP said his budget was whatever he could get for his P30, he can certainly swing a used R19, and maybe even a new one (depending on the condition of his P30).
And yes, the R19 is a really nice boat. Fun to sail, very stable and forgiving, enormous cockpit, and a good value.