Here are C2 phrases in the English Vocabulary Profile:
A search in Now corpus:
1 WITHIN REACH 20327 = within somebody’s reach = possible for someone to achieve
We are beginning to see that it is possible to unite beyond borders, that it is within our reach.
2 WITHIN REASON 3721 = acceptable and possible
A search for collocates in COCA:
1 ANYTHING 23
There was nothing I wanted more and I was willing to do anything within reason to achieve that goal.
Christian Science Monitor
2 COURSE 22
3 KEEP 12
4 WHATEVER 6
5 WANTS 6
3 WITHIN LIMITS 1666 = avoiding behaviour that is extreme or silly
But those with the least body fat who drank within limits were only 19 per cent more at risk.