Another topic in this general area is are you allowed to overcall a singleton or void and then redouble for takeout if they try to double you there. Needless to say this only is really an option at favourable vun.
So say it goes 2c and you hold QJxx
...............................................-------
...............................................T9xxx
............................................... KQxx
Or similar are you allowed to overcall 2h then redouble for takeout if it goes badly wrong. Of course the problem with this is that your partner might raise you an not see the funny side of you running to 5d. In order to solve this problem i suggest a special partnership agreement. It involves looking at your opponents and seeing if either of them look like this

if so do not raise.
On a slightly more serious note is it possible to play that if you overcall 2c at this vunrability partner does not bid (the same applies to preempts in 3rd seat at this vun) this allows you to come in on some really poor hands eg; At9xx x xxxx xxx (with a spade overcall in this case).
One other point, what should a double of 2c mean? It dosent make much sense to play it as natural as usually you will be on lead. Both majors possibly?