Another solution is to pick up an old lugged steel sport touring frame from the 80's. I have a 1984 Trek 610 I've been thinking of bringing up to date for the same exact reason.

They can usually be found at garage sales for a song. They will clear 700x32 tires. More importantly they ride more like a road bike than a CX. If you have any mechanical skills it would be easy to build it for well less than 2,000 and it wouldn't weigh a ton.

Also, have you tried mounting 700x28 tires on your existing. My Roubaix clears 28s and is very stable on dirt roads and rail trails.

What I really want is a Lynskey Sportive. Titanium frame and clears 32s. They are advertising complete builds for around 3,000. I'm going to watch for a used one on ebay.

Whatever you choose, make sure you take a good test ride on a CX. I tested a Specialized Tri-Cross. Didn't like and it was no feather weight.