Will definitely do better, you could try to solder on sort of tiny bus bars so that the only contact point is on the pads not the chip, but to get a good representation of it you'd still need pressure from the top.
Maybe some sort of clamp? A board like this on the bottom, no solder mask, a thin board or other bit that just has suitably sized cutouts for SMD parts in line with the pads arrangement (to keep the parts contained), then a second board that comes down on top, sandwiching the part. Spring load the thing in a jig and you could probably even use the two contacts on either board for four wire measurements of reasonable quality. You can't really use your hands for the pressure if you want it to be accurate into the 100s of k Ohm range, but it probably does the trick fine when in very low resistance ranges. I would be weary that finger gunk could eventually make the contacts on the board a bit gummed up which could effect measurements if you were holding the parts down each time.
I think the usual approach for component measurement is precision machined contacts in a clamp from either side and then a low leakage dielectric holder piece, there are LCR and impedance measurement test fixtures that can give you a good idea of what the test equipment companies think work well. This approach with no solder mask is a cheap and simple alternative that's used in a lot of component testers for SMD parts.