We have been many times.. The sites you listed are not the best (thus why they are still open.) You are not too far away, they do open up a few sites that day early morning ( these are for "walk up or drive up people), We have waited till the ealry morning and got nice site, but it is the luck of the draw.
IMO, the best sites are 202 - 230 (these are all on the water and very nice) Yes, some do have limited views, the lower 200's have less mangroves. BUT, since you can only book 6 months in advance, they go quick.
2017.. Prime Time Avenger. 32QBI
His.. 2011 F-350, King Ranch, 6.2L. Crew Cab, 4x4, 8' bed, SRW, 11,000 GVWR
Hers..2008 Ford Expedition, King Ranch Heavy Duty Tow, 3.73 gears
Sold.. 2005 Star craft, Travel Star 18SB
Sold.. 2013 Keystone Laredo, 291