Improvise - it's what lots of us did back in the day. If pointing your amp sideways or backwards isn't practical or doesn't give you the desired results, make a gobo out of whatever's handy to reduce beaminess or level coming off your amp. Use an open guitar case (or two), alone or without a moving blanket to absorb sound (hint: open them up w/the lining facing the speakers for obvious reasons). Is there any of the following available at the venue to help you jury rig something - curtains, some foam, cushions, moving blankets? Get creative. Trick here is not to muffle sound waves (you don't want to choke/muddy up your tone), but to absorb them a few feet off the amp or otherwise divert the sound away.
Problem with plexi shields is: 1) they can create a 'sonic stew' of reflected sound waves onstage that can have a host of bleed or other problems, 2) they're not particularly cheap, and 3) they're extra kit to haul to the gig (unlike a moving blanket which comes in pretty handy).
Beam blockers and donuts might help the cause (the beaminess in particular, but can they take much level off?). I've always kinda written 'em off as somewhat inflexible from the point of view that you can't change them on the fly to meet the needs of the gig. Maybe you can with some of them now - don't know...