If you do end up taking off the side plate, here are my thoughts. I recently (in the past year) did it for the first time with a .38 M&P. Then I did it again with a K-22.
There's no rush. If it seems to take a long time to get the screws out, that's OK. Slow and gentle keeps me from scratching my side plate. I laid the screws out on the bench as I removed them, arranged so that I could easily remember which screw had come from where.
Tappity-tappity-tap on the grip frame worked perfectly. I used the wooden handle of a toothbrush-shaped, brass-bristled brush. Vibration and the weight of the side plate do the work. Again, it took longer than I'd expected for the side plate to wiggle loose. That's OK; it'll come off.
Getting the side plate back into place was fiddly, but not a real problem. Let yourself get into the Zen of reassembly. Pay attention to how the edges fit to the frame. The part of reasembly that took me the most time was placing the hammer block in the right position so that the groove for it in the side plate would fit over it exactly. I figure that if it takes me eight or ten tries and fifteen minutes, but the side plate hasn't been off in fifty years, then I can relax and be precise about it. In the grand scheme of things, I haven't lost any time. I'm just enjoying learning more about my revolvers.
Still, if you can do what you need to do without removing the side plate, then do that. These guys will probably show you how to be, as The Bushmaster writes, "smarter than the gun."