RF module with noisy supply
I'm not sure what range you are looking for, but for 433Mhz I have been successful using the antenna as described in the datasheet for the WL101 and WL102 modules.

26 turns of 3mm diameter with a 12mm tail for connecting to the module.
For this I use an insulated 22 gauge wire and wrap it around the copper ground wire taken from household wiring.  The result has been compact and worked for me.