Oh, yeah, I definitely don't think I have enough experience with the Drawing Down thing. I tried something really similar when I was much younger with Hermes, and that threw my life into CHAOS. Hehehheh. I will read up on it, however...
As I said, really not something to do without appropriate support and aftercare (it's also not a thing where there's necessarily a lot of *point* if you're the only person there, for a variety of reasons.) Deep meditation work of specific kinds can be just as effective for solo work, and has a lot less in the way of risks or potential concerns.
In terms of studying, I do a lot of that... I try to study one of these two deities at a time, and though I don't do the writing project, I do paint. (I have a thread in the art forum here that has my latest piece, which is of Sirona) So... I think that by doing that, you're right, that's going to help. It solidifies the deity in my head.... but unfortunately, I can't quite get what I see out on the woodblock... I haven't been able to paint Hermes for years!
I'd encourage you to consider projects other than a direct visual representation of the deity, too - those can be great, but they're also only one facet. If you're feeling stuck getting to know them, trying a different approach might work. Some of my projects included music and lyrics, but also graphic design work, calligraphy, and some other things that took words, phrases, things associated with a deity and combined them in a particular way.