Andy comments:

I think they will probably go that far, and you might be able to
decrease the external cap 2-3% to help... ALSO, you might be
able to use a brass or aluminum slug to raise the freq.... Tears
heck out of the Q tho, so it's probably a last resort......

Also, you might take out the ferrite slug, grind off a little, and
put it back so you can still tune it without backing it out all the
way....

Andy W4OAH