Well, I have never ridden on a 23se however I would truly feel that boat would be fine with a 200hp. I own a 2320 with a 200 and it's a dog however the 2320/2300 hull is a deep V hull (21degree) and the 23se is a 14 degree hull which does not plow through the water like the other hulls mentioned. I agree with the others that 250 minimum on the 2320/2300. BTW, the 23se has max of 250 where as the 2300 has max of 300hp.
As an example, when you see the 2520 XLD (21 degree) hull, they are always powered with twins up to twin 250hp. However the Mod V 2520 are often run with single 225/250hp. completely different hulls.
Anyway, hope that helps. I would definitely run the boat if you can and see how it feels. Best of luck