Lakester for sure, and with a body, possibly a streamliner, but either way, this will fall squarely into the "special construction" category, and all applicable rules will apply. The degree to which they apply will be based on the speed of the current record in the class.
There aren't but a dozen special construction categories with records below 200 mph, so unless you're running a 250 cc motorcycle engine, it's likely to be very highly scrutinized.
You'd be hard pressed to find a drag car with sufficient roll cage and construction considerations to be allowed to compete, even in the slower, smaller engine classes.
Go to the Bockscar build in the build diaries. If he's running the old engine, then it's being set up for a 1 liter, and it likely already weighs twice what a drag car the same size weighs.