David,
I would recommend brining, as you have, and following the basic
Low Slow for chicken, ie butterfly the bird, pop out the leg/thigh joint and tuck the leg/thigh up over the breast as much as possible. Try not to lay the bird out entirely flat, tuck the breasts up against each other for more density.
Generous application of external bacon and, if the pheasant still have skin, a light application of compound butter under the skin will help keep the birds moist. If the pheasant is the only item on your smoker I'd suggest a slightly higher than typical smoker temp, 300 as opposed to 250. Keep an eye on the birds so as not to overcook.
As Kit says, in your provided link, do not overcook. I'd also venture Kit's recipe, he is both a BBQ man and avid hunter, looks
delicious. Borscht with pheasant looks interesting as well.
Nice gift by Pairs4life and Alistair, hope it turns out well.
Enjoy,
Gary