I've currently got a 3-10x-44 Simmons Mag-44 on my .338/06. Not by choice, but I won the scope in a match and I took the Leupold 2.5-8 Vari-X III off of it and put it on a Rem Mod-7 in 7-08 I traded for. (The Leupold is nice and light as well as rugged). I shot the last six deer I killed this year with the 7mm. A 7lb rifle is much more pleasant to carry and hunt with than a 10lb rifle. Besides, you really don't need a .338 to kill 75-100lb deer. Heck, I didn't even need the 7mm, as I killed the first 3 just as dead with a .223. They died just as quick too.
The Simmons is not a bad scope, but is a bit heavy and really excessive for this rifle. I would prefer a lower power, but the 3x with the 44mm objective, gathers a lot of light and has a decent field of view. The scope has held zero quite well, and even seems to give me a little tighter groups than the Leupold at 8x.
I plan in the off-season to replace the Leupold on the Remington M-7 with a 3-9x Leupold compact, and will put the 2.5-8x back on the MkX Mauser in .338.
I don't think the recoil will be a real problem with the Mag-44 as it's a better scope than some of the lower line Simmons.
Saying a Simmons is bad in a blanket statement is inaccurate as they offer several lines and levels of quality. The inexpensive lines are what you hear bad things about, just like their counterparts in Bushnell, Tasco, BSA, ect.
The Mag-44 is a decent piece of glass, just not up to the higher level of scopes in the Burris, Leupold, Nikon, ect.
Your Simmons will suffice until you can invest in a better piece of glass. Mine has survived approx 250rds, so from my experience, it will last, as scopes usually fail fairly early in their life, if they are going to fail.
If you try reloading your .338, I think you will find it to be quite flexible, especially in down loading it with 180-200gr bullets. You will also find that it can be amazingly accurate, also.