Are you displacing the OTs with an F, or are there other steps between the tosylation and the fluorination?
If you're only using the OTs to activate that site, you may be able to directly convert the OH to an F with something like DAST or Ishikawa reagent depending on what else is in there. See if you can get the hot versions of those reagents.
You can try deactivating your silica by pretreatment with triethylamine, or use something less active like alumina, or Florisil. Prep HPLC is also usually an option if you have access to the equipment. If I was working with a hot compound I would feel like that might be a good way to go because it usually provides the best separation the fastest. However, you may also end up with an unusable radioactive HPLC when you're done, so consult the local powers that be before trying it. You can also get bulk C18 cartridges for reverse phase separation that work just like tiny chromatography columns. Finally, if your tosylate is a solid you can try recrystallizing it: no column necessary.
You could also try converting the alcohol to a halide and displacing that instead of the tosylate.
If there's steps between the tosylation and fluorination, sometimes it worth it to say "ahhh screw it" and try to run the next step without cleaning it up. I usually try this on the small scale first though if its on something that's hard to get. (maybe convert the tosylate to an iodide without intermediate cleanup, then purifying the iodide?)