There's lots to work with here, lets try a few points.
You seem to have access to the cleanest solvents. That's a good first start. Like MOTOBALL: suggested, try to run a few runs of the gradient, with just water and acetonitrile, in your cleanest glassware, and look to see those peaks again. Do they go away after time, do they get smaller, things like that. Changing to the best source of salts may be useful too.
Fortunately, you have a PDA. Do try to extract the spectrum of those peaks. Do they absorb sharply in the region you're interested in, like How Dont: asked? That signifies a particular contaminating compound. Or is it just noise. Or is it a sharp drop off at the high or low ends of the spectrum, that signifies refractive index change.
I don't like the end of your column cleaning protocol. Heat with no flow to blow off volatile contaminates seems unlikely. The sealed column connected by coils of fluid lines inside an instrument isn't going to let anything escape. Moreover, we generally don't heat a column without flow, that could damage it. In fact, you may now have to face that these peaks are possibly the silica's bonded phase "bleeding off", both due to regular wear and tear and any thing you may be doing. You can try with a brand new column, equilibrating it with water and ACN gradients, and see if this region is clean, or if this contaminant starts building up again. Mass spec grade columns have the bonded phase bonded at multiple points, to prevent this sort of bleed. So you can look for a similar column, in "low bleed" format to see if they help.
This is why we avoid low wavelengths in HPLC. You can find a contaminant from everywhere: The solvent bottles, the water generator, the eluent storage bottles, the fluid lines, contaminants built up inside the HPLC, stuff extracted from seal material. Then there's your sample vials, the containers used to collect your samples, the samples themselves. If you've adjusted the pH of the mobile phase by sticking the pH electrode in the buffer, then there are traces of the electrode filling solution in your eluent. And whatever you used to adjust the pH, which is often not the cleanest acid or base bottle around.
What are you going to do? I can predict this. You're going to try everything in sequence, twice, and in the end, the problem may disappear. But you will not know for sure which single thing was the culprit. You'll just know that if you have to be at the low levels, at extreme wavelengths, you'll have to be very fastidious with your instrument.
You might want to flush out the system without the column. One of the best ways to passivate the interior of the HPLC is with a liter or more of 0.1N citric acid, followed by a liter or more of 0.1 N EDTA, delivered slowly, say at 0.25 ml/min over a weekend. A good boiling MilliQ water rinse before and after can be helpful as well. These reagents are compatible with and will somewhat clean the detector flow cell. Harsher acid washes may not be safe for the flow cell parts.
On the subject of the detector, if you're pushing it to extremes like this, maybe you'd like while you're working on this problem, to perform a lamp replace and PM a little bit early, to be sure its at its best.