There was a stunt version of that engine, which was originally designed for carrier. I saw one NIB in a Houston hobby shop many years ago. 

Seems the RE 36 had a hefty sand-cast case, over 9oz. bare weight.  That might be on the heavy side for an Olympic.  Measuring the timing on the sleeve and crank will give you a good idea of how it is going to run.  If it is closer to a Fox 35( ~180 deg intake timing, closing at 45 deg ATDC, exhaust open a total of ~ 135-140 deg) it should run pretty well for stunt.  The motor was built for carrier so it is probably timed more like an RC engine and run better on a low pitch prop at higher rpm- 11,000 or so.  The Olympic is a fairly small model, so it doesn't need a lot of prop.  If the 36 can turn an 10/4 at around 10,400 running rich it will fly the Olympic just fine.

I ran the 2 of them I had in R/C. Just as the Fox 35 they were anemic and the carbs wern't the best. The muffler was for all intent a 6 oz tank and it was held on with one set screw that stayed tight for about 10 minutes before doing the inevitable. It had a tendency to run hot with the muffler. Oh did I mention it was crudely cast and finished. If this was the end result of his '$40.000' dollar purchase of the Rozelle andFrye engine attempt then he was taken to the cleaners and wasn't the shrewed business person he would have had you believe. They were pawned off on other users and life returned to normal. I cannot imagine that they ever set the carrier flyers on fire to really campaign them seriously.

I ran the 2 of them I had in R/C. Just as the Fox 35 they were anemic and the carbs wern't the best. The muffler was for all intent a 6 oz tank and it was held on with one set screw that stayed tight for about 10 minutes before doing the inevitable. It had a tendency to run hot with the muffler. Oh did I mention it was crudely cast and finished. If this was the end result of his '$40.000' dollar purchase of the Rozelle andFrye engine attempt then he was taken to the cleaners and wasn't the shrewed business person he would have had you believe. They were pawned off on other users and life returned to normal. I cannot imagine that they ever set the carrier flyers on fire to really campaign them seriously.

The carrier rules (Profile v.1.0, I think) were changed to allow ball bearing engines, which obsoleted the Fox rear exhaust .36. The story was that the rule change PO'd Duke and he gave up on the engine and the event. I'd guess that by the time the Fox .36 RE Stunt was on the market that the ST .46 or .60 was the engine to have if you wanted to be considered serious.

 If this was the end result of his '$40.000' dollar purchase of the Rozelle andFrye engine attempt then he was taken to the cleaners and wasn't the shrewed business person he would have had you believe. They were pawned off on other users and life returned to normal. I cannot imagine that they ever set the carrier fliers on fire to really campaign them seriously.

You mention the Roselle and Frye engines here.  There is a "bit" more to the story and relationship between Duke Fox and the RAF engine venture, but I will not go into detail here other than to explain that Roselle and Frye (of Dayton, Ohio) at one time held the Class B Speed record (and I think the C speed record also) with their hand-built machined case engines.  They decided to go into production (in Dayton) with engines based on their design with cast cases and primarily targeted the RC pylon racers but had plans for other versions to be used for RC pattern, and for CL stunt, rat racing, carrier, and combat.  In the early 70's, Duke Fox became a "silent partner" with Roselle and Frye.  A single "stunt 40" was produced and I had it on my airplane that I campaigned with in the early 70's.  I only have the one picture that did not scan very well but will post it anyway.  The thing had "adequate" power for the heavy airplane it was in.  It placed 10th at the 72 Nats. The crankshaft later broke and Duke Fox took over the RAF "enterprise" and marketed engines fabricated from parts removed from Dayton to Arkansas with the Fox label. There was a history of this (at least the Fox version of history) as referenced in the 2006 SSW thread mentioned by Chris Wilson above.  I have no experience with any of the Fox rear exhaust engines based on the RAF design.

Keith