Listen to REDLEVEL, repeat, listen to REDLEVEL.
He must have the answer... since he does it exactly the way I do.
Spike to side of bake won't work.
Fork on rear and FEL spike... I use all the time.
Always put bale on rear FIRST, then spike one on the front. Yep, you know that, but it's worth repeating.
Always carry front bale as close to ground as you can and not rake hay off.
WARNING...attempting to place bale with FEL without serious rear ballast is dangerous. Every time I get myself into a situation and attempt it I get wheels off the ground and recalibrate my pucker factor... just drop the front bale and place it with your rear fork.
You can turn bale on end using spike..that's how I drop bales into round bale feeders... raise over feeder edge, tip over, let it drop into ring. I do NOT recommend this as a method as the base for your hay stack. You can't manage them properly. Put them on their side as in REDLEVEL's photo. That works best. They WON'T roll... they flatten on the bottom
Once I tried an experiment to stack bales 3 high....couldn't do it with my equipment...didn't get it high enough... SCARY too, even with round bale (1300lbs) on rear fork, 1000 lbs of liquid in tires AND 300 or so extra lbs on the 3ph.
Suggestion... maybe somebody in your area could let you borrow a FEL spike and 3ph fork and you could try stacking some in the field...to get a feel for it. This way, you KNOW what size bale works with YOUR tractor using this technique. I'm not very familar with your tractor... but my FEL lift capability is 2800 lbs or so.... and there are times when I don't fully spike a 1500 lb bale and the relief valve pops..then I need to reposition bale closer to tractor.
Be aware that the 4 wheel assist/drive can be decieving... you have good traction until the center of gravity moves just wrong on you, then bad things start happening fast... so, just move slowly and be ready to drop your front/rear load at all times unless you know you are well balanced and not going to hit pot holes or tilt.
It also works to have a flatbed 16ft trailer on a pickup. Place 3 bales on flatbed with spike. Then, pick up your rear and front bales with tractor and head for barn.....buddy/wife drives pickup. You place tactor bales, then either pick up the trailer bales with spike from side, or back up/into trailer with fork and pick up bales one at a time.
All the above being said, I highly recommend using a spike and fork combination.