Rigida Chrina rims are notorious for being tight although they may just have a shallow well. Generally, the strategy for dealing with an impossible tyre/rim combo is, assuming your technique is flawless:
1. Lots of talc on the tube. It makes it less likely to get trapped between the tyre and rim, which increases friction so much that nothing will budge.
2. Thinner rim tape, and rim tape that fits properly. Hard plastic tape that sits diagonally because it's too wide for the well of the rim is hopeless (hello, Brompton).
3. Fit the tyre without a tube, remove it and repeat a few times, which sometimes stretches the bead a little. You can of course use tyre levers as there is no tube to puncture.
4. Fit the tyre and tube using tyre levers. You usually get away with it. The good news is that a kevlar-beaded tyre, in particular, becomes fairly easy to remove and refit after a couple of weeks sitting inflated on a rim. Vredestein Fortezzas were pigs when new but you didn't even need tools to remove them once they'd been on the bike for a month.