I can see where you would have an issue with the water-thin solvents when using your particular bonding technique - the solvent just runs out of the joint, especially if you are joining the piece flush at the edge, and then even more so when the outer edge of the joint has something in contact with it, which would give water-thin solvent a path to wick out rather easily.
When using the pins method, one sheet is horizontal (preferably on top of a piece of MDF with strips of "camper shell foam" on it) and the other sheet is vertical. A 90 degree bracket holds them in place. Once the joint is in full contact across the entire length of the joint using shims/etc, the pins are inserted and joint is adjusted again. The brackets are attached to the vertical piece such that when the pins are added, they are lifted up slightly off the horizontal piece. Then the pins are pulled, they won't hold the joint apart.
The vertical sheet is offset slightly from the edge of the horizontal piece (1/16" or 1/8") which is trimmed off later with a flush trim router bit. This allows the solvent to form a fillet on both sides of the joint, which prevents air from sucking into the joint as the solvent dries. The solvent is ran along the joint and after 15 seconds or so, you pull the pins and the solvent & melted acrylic from both sides 'squishes' out and forms the fillet. So the bottom panel with lip provides the ability to form a fillet on both sides, and also prevents the solvent from running out of the joint. Both of these prevent air intrusion during the curing process. Any other bubbles that appear "inside" the joint are usually due to edge prep errors, solvent application errors, dust/grease/fingerprints on the surfaces of the joint (which cause air pockets), etc.
After pulling the pins, I usually let this sit untouched for about 30-45 seconds, then I momentarily (and gently) release the clamps holding the vertical piece to the 90 degree brackets while adding a slight amount of pressure on top of the vertical piece. This ensures that any additional "gap" that is created as the solvent "bites" into each side of the joint during the soak time does not increase the space between the 2 sides of the joint beyond what it was when pre-setting the joint (which was flush). If I can, I put some weight on the top of the joint, but for a first end-to-front joint, it's not really feasible, unless you have a sandbag and trust your ability to balance the load. It's easier to do on the next side of the end joint, when you have a panel to place a weight on, or for the bottom or top joint (12 packs are my fav)
Then once I have place the clamps back in place, I don't touch the joint for several hours. If is it for a display tank, I try not to even bump the table that it is on for a minimum of 4 hours, usually 8 (overnight) and I do not flush trim with a router until a joint has sat for 20 hours. So if I add the ends to the front (2 joints) and wait 8 hours, then flip over and bond the back to the ends (2 more joints) and wait 8 hours, I can flush trim the lip off the front/end joints but I still have to wait 12 more hours to flush trim the back/ends. So I usually just let it sit for a full day then do all 4, then put the top on, wait 8, bottom on, wait 24, flush trim top/bottom, done.