Right analog is Z and RZ, in both stock and LegacyROM, so change to that and should be fine. It's what I use to play ape escape.
About the need for speed, no idea. I haven't had any problems with games that use L1 in epsxe. Maybe an emulator bug with that game?
N64oid doesn't support proper analogs, only left works, but do same function as dpad (in g5a and all devices), so the only way is using tincore and convert right stick to regular keys for C buttons. Same for dpad or will do the same as left analog. I honestly think mupen is much better, and have a proper input support.