This page should generate almost all regripless 3-style algs for a given corner case, with setups no longer than the provided length (maximum 8). Direction is not considered, so you may need to invert some algs. Regripless is not entirely well-defined, so a few of the generated algs may be a bit awkward, and some algs which you feel are regripless may not appear. Contact me if you have an alg that you think should be appearing but is not, and vice versa.
For each alg, the length is displayed (counting, for example, U D as a single move, R2 as two moves, U2 D' as two moves), and the algs are roughly sorted from best to worst, though this sorting isn't particularly great. Ideas for improving the sorting are welcome.
Disclaimer: I'm not claiming that the best alg for a case is always regripless.