First off start with a price point then add a realistic expectation of what your capabilities are with each one in the different games.
Next you should ask yourself out of all that are giving opinions on scopes, who is shooting these sports, and are they doing well with the kit they are running?
It is highly likely the fellows who are into the sports have traveled down this road(sometimes more than once).
The IOR, Burris, PEPR, HAMRs etc. Crap is going to fail and won't hold it's resale value if/when you change your focus. My advice is to steer clear of this low to mid-grade crap as it will only cost you in the end.
The do-all is a decent quality variable set up in a good quality mount.
If you want to run one scope without a red dot canted off to the side, a good option without breaking the bank would be the Nightforce NXS 1-4 power or the Leopold Mark 4 1.5-5x20mm MR/T M2 Illum. Reticle. Are good choices for both sports that won't break the bank. I think the 2.5x10 range of scopes are better for S.R. But will be a disadvantage for IPSC.
Mount them in an American Defence mount and you are off to the races.
You can run a red dot canted, but I think this is folly- especially for a new shooter into those sports. Keep it simple, clean and tight. Fine reticles are a must for distance work (300+) and close in you will not be hampered. Good turrets are a must for proper dope, but the notion you need 1/8 moa adjustment is silly. 1/4 is as fine as I'd go, and 1/2 works fine. Same same for equivilant milrad.
S&B short dots and the Elcan Specter are, IMHO, too expensive without offering any real advantage (says a guy who is not shy with spending money on expensive kit).
That was a very good post Beltfed. Thank you. Some good insight there.