I applied inland as well. I did my medicals two days before sending off my application and sent the receipts in as proof.
Inland is a little different from outland in that we don't actually see the results. The DMP's directly send the file to Ottawa where they are then scanned into the system. After AIP is granted Vegreville will request this file from Ottawa
Having said that, it is not entirely necessary to do them before hand. CIC will not look at your medicals till after AIP is granted and that is taking 11 months at the moment. If this time frame were to slow down for any reason you then run the risk of having to re-do your medicals as they expire after a year.
Some people wait till after AIP is granted and then do medicals when requested by CIC. Problem with this is that it will slow your DM down by 2 months or more.
However you can still do your medicals any time after you have sent off your application, but before AIP is granted. You will just need to send the receipts to CIC Vegreville after the fact per the following:
1) Put the receipts in an envelope and on the front write "Please add to my file ASAP, time-sensitive documents", followed by: your name, your sponsors name, the date your application was received at Vegreville (via CP/Courier tracking), and if you have a client ID (previously issued through work permits) put that on there as well.
2) Put that envelope in another and address it to: CPC Vegreville, 6212-55th Avenue, Vegreville, AB T9C 1W5