Since the OP did not provide any of the conventional details about their method, it is best to start with the obvious and then if they contribute more info, we can evaluate further.
Good general advice is to not reply to posts with advice when you do not have the experience or training to do so. Example: "I don't think you're having degassing issues. The Agilent 1200 comes with a superb degassing system built into the pump." - THE Agilent 1200 binary pump was never equipped with a built-in degasser. The newer 1260 and 1290 pumps do. The 1200, like the 1100-series must use a secondary stand-alone degasser so your assumption is incorrect. The OP's degasser may not be present or may be defective (very common as they only last about 5 years before requiring service). So, yes, a lack of degassing is a very common issue and may indeed be the issue here. Even if the pump HAD an integrated degasser, that would in no way mean it was working properly (how would you judge that with no information at all to go on?).
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if your flow rate is that low, I assume you're using a column with a smaller particle size on that system. By smaller I mean less than 5um. Sometimes those columns take longer to equilibrate
." ??
For the purpose of this post, particle size is not related to flow rate. Particle size would relate to back=pressure on the column. If the OP is running at 300 ul/min
it suggests they may be using a 2.1 mm ID column (column, not particle size), not 3.9 or 4.6 mm ID. Sticking with a linear velocity of 300 uL/min on a 2.1 mm ID column would be the same as using 1.5 mL/min on a 4.6 mm ID column. Flow usually relates to column dimensions. Equilibration should not change in a significant way when using a 5 u or 2 u particle. Now, yes it is certainly true that they could be using a column of any reasonable dimension with small particles inside, but we have no details regarding their method so a column of ID 2.1 or a particle size of 2u just makes no difference at this point in time. Certainly not in any way that would effect noise or baseline disturbances as reported here. IOW: Useful, but not relevant.
ACN polymerization is far rarer in real life than the number of times it appears in web discussion forums like this one. It is also extremely rare to be observed causing a problem in an Agilent 1100 or 1200 Binary or Quat pump with standard AIV installed. Those are extremely rugged pumps and typical problems that all new users have, with any HPLC system, are keeping their HPLC pump properly primed and flushed before starting an analysis. Degassing and proper priming are key to getting things running smoothly. The lower flow rate of 300 ul/min is easily within the limits of a std 1200 binary pump, as long as sufficient back pressure is maintained (> 40 bars).
My earlier post included a wealth of practical, detailed information and article links to help educate this new user and allow them to begin the troubleshooting process. These types of problems are best sorted out at the end-user's site, by professionals with training to both teach and assist new users like yourself and the end-user OP to begin to acquire the skills needed to insure their system is running properly.