Nice house!
Really, I can't see composite fitting in with the look.
Here are my prices for Cedar, pressure treated, and composite. Yours will be lower, I live in Canada.
These are for 5/4 x 6 deck boards, (which measure 1" thick). You may have 2 x 6's on there now, don't know.
Anyhow, when you call around for prices, most yards, with the exception of HD, etc, will quote you a price per linear foot.
PT: 5/4 x 6 is 73 cents a foot
Cedar 5/4 x 6 is $1.29 per foot.
Composite......$4-6 per foot. (Got $20,000 + kicking around?)
This time of year, you may be able to negotiate if yards are wanting to clear stock for winter.
I change my vote to cedar for your place.