Use a decent radio. it's a good idea to plan your target channels ahead of time, as the length of DXing time may be rather short. The last one in August 2017 I used my Sangean PR-D5 and heard KSL 1160 (700 miles away? 600? not sure), KUMA 1290 (Pendleton OR, about 250~ miles away), KQMS Redding 1670 (about 600 mi away) and I barely heard KBRE 1660 Merced (about 800~mi away).
The reason I say plan your targets, is you won't have a ton of time, and naturally the daytime frequencies will be active, with those stations on day power (as they are in your region during the day), restricting somewhat the amount of DX channels that will be available . Here where I am in the Seattle-Tacoma metro the X band is mostly spare, and I knew which DX channels would have a better chance of something being there. So I tuned the X Band, and a few channels lower down towards 1200 that I knew had DX stations on them that I would be able to ID.
I heard the DX after the totality -- or, better put, after the near totality we had here. During the apex of near totality I took some pics of the partial sun using the pinhole method pinhole on one paper plate, the solar crescent 'cast' onto another paper plate... it works... Then I went up to my exercise room and tuned around on my PR-D5. It was cool hearing DX during the noon hour (or just before it, if memory serves). My DXing time was maybe 15 minutes max... the stations begin to fade as the path of the eclipse moves farther and farther away, sort of like a sped up switch to daylight. The last one I heard was either KUMA 1290 or KQMS 1670.... fading into daylight hiss and static...
Being that I was in a partial eclipse region, my experience showed you can still DX without being in totality. So those of you in partial eclipse regions, fire up your radio anyway. ;-)