I'm not familiar with the particular column, but perhaps can suggest some ideas for you to try. Just to cheer you up, I think you have two problems - Inadequate sample preparation, and inconsistent chromatography. However, if you fix the first, the second might not be a significant problem.
You haven't given us details of the chromatography ( eg mobile phase, column temperature, sample solvent ( water? ), injection volume ).
The nmr data suggest that perhaps your neutralisation of the acid isn't complete or consistent, and perhaps sample doesn't completely dissolve. If the problem peaks from the samples are long chain organic acids, sample prep should be able to remove them, provided they are made soluble and available to the resin. 
I'd be looking to perform a more vigorous neutralisation with pH monitoring to ensure all of the sample is well neutralised, and stays at the desired pH for at least an hour after. As you can lose sugars, I'd also be focussing carefully on any concentration step as well, sampling and testing subsamples during concentration to ensure pH and sugars are not changing. I'd also want to be certain the samples and standards are at the same pH, and staying in solution. 
Do you have any problems with inconsistent standards, and what happens when you spike the samples with the standards - is the recovery good?. If you increase/decrease column temeprature, do the peaks change size?.
I suspect that you may accumulating some material on the guard or column, and your sample injection solvent is liberating a small amount, and carrying it through the system slowly. However, it's retention should still be consistent, so that suggests the mobile phase may not be able to buffer the compound correctly.
As your anionic guards can prevent the peak for a while, that suggests you should focus on the sample preparation step, particularly pH control and sample concentration/redissolution solvents. If that doesn't remove the peak, investigate the anionic cleanup, perhaps trying different resins, or even much larger capacity anion guards from another supplier.
Please keep having fun,
Bruce Hamilton