Hi and welcome to the forum. The S model you have is indeed carb'd, but it doesn't have a single carb. It actually has two side draft carbs, like motorcycles use. They are very difficult to work on unfortunately, and not many people know anything about them. It sounds like maybe your choke is staying on after the engine warms up. Don't try adjusting anything on them unless you have a very good idea of what you are doing. They are very finicky and you can quickly make them non-operational. As far as the HP rating goes, I believe the b20a3 is rated at 104 HP.
There is a member on another forum who has learned all about the carbs on 3rd gens, and he might be able to help you. Here is a link to a thread he made for some of the adjustments you can do. Hopefully it will help you...
B20a3 Carb Adjustments Write-Up and ECU Error Codes - Honda Prelude Forum : Honda Prelude Forums