As since OS and CI have an interline agreement you should be able to check luggage thru - even on separate tickets / reservations. Just show your OS ticket in TPE.

Otherwise you are stuck since normally the check in counters at outstations only open around 2.5 to 3 hours before the flight.

ELECTRONIC INTERLINE CARRIER AGREEMENTS-OS
INTERLINE CARRIER CODES
AA - AB - AC - AF - AI - AP - AS - AV - AY - AZ
A3 - A9 - BA - BD - BR - BT - B2 - CA - CI - CM
CO - CX - CY - CZ - DE - DL - EK - EN - ET - EY
FB - FI - FM - FT - FV - GF - HM - HY - IB - IG
IR - JL - JP - JU - J2 - KC - KD - KE - KF - KK
KL - KM - KQ - LA - LG - LH - LO - LP - LX - LY
MH - MI - MK - MS - MU - NH - NW - NZ - OA - OK
OU - OV - OZ - PG - PS - PZ - QF - QR - RB - RJ
RO - SA - SK - SN - SQ - SU - SV - SW - S7 - TG
TK - TP - TU - UA - UL - UN - US - VN - VS - VV
V3 - WF - WK - WY - XL - YM - Z6 - 2M - 3B - 4M
4U - 9U - 9W