MLG HIGH WING JET ACFT LANDED ON SLUSHY RWY AND THE NEXT MORNING WHEN DEPARTING ARPT; ICE IN THE WHEELWELLS PREVENTED ONE OF THE MAIN GEAR FROM RETRACTING. DUE TO WX AND ARPT CONDITIONS; FLC CONTINUED TOWARD DEST WITH GEAR DOWN AND RESULTANT SPD RESTRS. DIVERSION FOR FUEL WAS REQUIRED.

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THIS SIT STARTED THE NIGHT BEFORE. WE LANDED AT THE ASE ARPT JUST AFTER A WET SNOWSTORM HAD FINISHED DUMPING APPROX 2 INCHES OF WET SNOW ON THE RWY. WE LANDED AFTER TWO OTHER AIRPLANES HAD LANDED AND RPTED BRAKING CONDITIONS GOOD IN SLUSHY CONDITIONS. THAT WAS A TERMINATION FLT FOR THE EVENING. ON POSTFLT NOTICED SLUSH HAD BLOWN UP INTO WHEELWELL. THE NEXT MORNING ON WALKAROUND FO RPTED SLUSH HAD FROZEN TO GEAR DOORS AND GENERAL AREA AROUND GEAR. RPTED IT TO MECH ON DUTY. HE SAID HE WOULD DEICE AREA WHEN DEICE CREW WAS DONE DEICING AIRPLANE. AREA WAS DEICED WITH GLYCOL. TAXI OUT AND TOOK OFF. WE RECEIVED 2 MAIN GEAR IN-TRANSIT LIGHTS AFTER SELECTING GEAR UP. TRY CYCLING GEAR TO NO AVAIL; SINCE TEMP WAS -4 DEGS C. SINCE ASE IS A SPECIAL USE ARPT WE FLEW THE PUBLISHED DEP PROC TO ALT AND HELD OVER RED TABLE VOR. CONSULTED WITH OUR DISPATCH ON PLAN OF ACTION. SINCE ASE WAS MARGINAL (WX WISE) AND (ARPT WISE) DUE TO HIGH TERRAIN; ELECTED TO PROCEED TO DEST OF MSP. WE CLB TO 20000 FT AND FLEW AT 210 KTS (ACFT LIMITATION DUE TO IN-TRANSIT LIGHT). ENRTE CONSULTED WITH DISPATCH AND DETERMINED THAT WITH FUEL BURN AND WINDS ALOFT WE WOULD HAVE TO DIVERT TO SUX. I BELIEVE CRM WAS VERY HELPFUL HERE IN THAT THE FO FLEW THE AIRPLANE WHILE I WORKED ON THE PROB WITH DISPATCH AND MAINT. ALSO NEXT TIME I LAND ON WET; SLUSHY RWYS I AM GOING TO REQUEST HEAT BE APPLIED TO THE GEAR AREA INSTEAD OF GLYCOL.