If you do not want to invest so much stay in the 3-9 department and you will get more value for the money.
The 3-9 maganification is very popular therefore with lots of competition so you can find better deals on anything you need.
That is why I suggested the Pride scope for 22LR and first focal plane. It has been proven to be effective not only with the 22LR
but with other cartriges. Not standard Units but when the subtensios are known it is easy and reliable in the end nevertheless,
specially for that price range and w/o the added complications of the 2nd focal plane.
Keep in mind that the reticle that they give you at 200yards for a 22LR can be used equaly for a 308w at 700-800 yards or a 223
at 600-700 yards or so depending on bullets, speeds and atmospherics of course.
My savage Mark IV (Dicks deal) in 22LR std velocity load will produce 6.7mils (23MOA+) that is the same drop one my
rem 700 in 308w will produce at 850 yards with a 178gr superformance hornady load so the pride will serve both.
Drop is suficient and magnification is more than plenty for your 600 yards goal and even beyond unless you are shooting
smaller targets or varmints.
I do long range hunting a couple of times / year and follow the long range hunting forum and hunting trip deals.
Here in this forum one of our buddies Steve (SSCoyote) wrote a nice paper on the Pride 22LR scope.
Long Range Coyotes: A Custom AR-15 And The Little Scope That Could
He pops coyotes left and right wiht that scope all the way to 500 - 600 yards. Coyotes are sneaky creatures and small
and they move fast so you should have no problems hitting paper or steel targets with it.
Then when the time comes to do closer ranges you will enjoy the nice FOV of a 3x9 scope, also if one day you want
to hunt with it in the tipical northern woods where FOV is very important.
If you do not like the pride then look into the Vortex or the Weaver tactical with FFP. they are also proven to be efficient
but based on your budget I thought the pride would be a great value.
This not to win any world record matches but you do not have to worry about that and simply enjoy some solid hits with
any of them.
Do not buy any of those OEM chinese ones though. Those are crrap. I listened once to on of those "sniper x" forums on a
great review on one amazing deal on a wotac scope and the scope is ok and holding up but the company went belly up in
a few months. Then they pulled the review out of their website and Midway, SWFA and others pulled everything out
aobut them. Nothing that I would use on a remington 700 anyway in the first place but I am just saying.
Cheers.