Since there are no other reverse panda Speedmaster Professionals that I know of, you might consider switching it around with a panda dial, such as the 3569.31.
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There has recently been some discussion about this in another thread, and there are a few being/have been sold that indicate they would still be within your budget.
https://omegaforums.net/threads/ebay-apollo-11-35th-anniversary-panda-full-set.54729/
If it absolutely has to be a reverse panda, then in addition to the Autavia above, another iconic watch you might consider is a Breitling Navitimer (whether current 01 or older).
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If the busyness of the dial does not appeal, then perhaps the Breitling Transocean Chronograph. The one pictured is a limited edition from a few years back that is hard to come by, but Breitling just released a similar reverse panda which is only subtly different (much to the chagrin of LE owners).
View attachment 365132
Finally, while I doubt you'd be able to secure a classic Rolex Daytona with a reverse panda dial within your budget, there are vintage Tudor Big Block Chronographs that might fit the bill.
View attachment 365151
* Note, some pictures were found on the Internet, so rights belong to the original owners.
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