I will plug an infrared stripper for this. I say again, it was the best tool I ever purchased and perfect for this sort of thing. Expensive but I used it constantly and sold it, fully depreciated from my books, for more than I imagined I could and not that much less than what I paid. It was fast, safe and almost fun at times---especially when I think of other ways I used to strip layers of legacy paint from old home exteriors and interiors.
However, why have you determined you cannot remove the baseboards? I worked almost exclusively on antique homes and most with 1800s hardwood woodwork. You need to go slow and you may need two or three flat bars but if you just pull in the reverse direction they were nailed they will come loose. Just keep inching all your flat bars along. If you want to be lazy, just pull them far enough away from the wall and saw off the nails with a saws all.
Mark each piece so you are not scratching your head about what goes where when it is time to refit them.
Always pull nails out the back and never try to pound them back out the front of the trim or you will most likely cause damage. If you do not want to pull the nails, or if you have lots to deal with, use an angle grinder and just cut them off flush to the surface.
With the baseboards off you can work on them at a comfortable height. I would still use an infrared stripper but a gel stripper would work too.
But, heed the advice given about trying a very sharp scraper
first. A dull one is totally counter productive. I like the draw type you pull toward you for applications like yours. I have a detail scraper set for countours. As mentioned it was a trend to paint over varnished or shellaced woodwork and people did not use primer. I have been surprised so many times at how fast a scraper got me down to hardwood. No chemicals. No expensive gadgets. No dust. Minimal sanding unless I was attempting to restain and varnish.
Make sure you know your responsibilities for lead abatement and what you might be exposed to working around it. You can get away with things I cannot as your contractor which is silly in a way.
I hate suiting up but they make some comfortable and cheap tyvek suits and booties. I got mine from Uline. It feels unnatural to have gloves on my hands working on interiors but I wore them around lead and especially if I had open abrasions or cuts which was most of the time. Pick a cute, disposable hat. Your paint store probably has boxes of logo ones in back you can have for the asking. Aspirator or at least masks are not a bad idea when working on an old home whether lead the issue at hand or not. I was once diagnosed with environmental pneumonia for having dug around the guts of old houses for so long.
And BabsHoney, corral that lovely offspring when working around the potentially lead laden paint chips. Kids ingesting paint chips because they have a sweet taste to them thanks to the lead is what originally started all this. Lead is certainly not good for any of us but just given size, it tends to concentrate in the what I once called the Future Famous when helping to build a museum for them.