Lets play.
Figure BAF buys a sizeable amount of J-10.
BD and Myanmar have a border skirmish.
Chinese side with Myanmar due to you know...."interests".
What now?
BD is gonna have to suck "rooster" regardless....Chinese, Russian or American.
Exactly, let's play it out.
BD has only two borders, one with India and one with Burma.
There is little to no possibility of war between BD and India because greater interests lie between the two countries to co-operate and maintain a friendly relationship. However, never say never, so you need combat systems that will without a shadow of a doubt be supplied by enthusiastic suppliers. Two suppliers come to mind, China and Turkey (because of the Sultan being in power for the foreseeable future and because of Muslim brotherhood, it's not a fairy tale, that brotherhood still exists albeit at a low steam). Pakistan is also a good candidate, although they don't have much to offer in terms of big ticket items. Western and Russian sources will stop supplying BD because of India's better purchasing power.
As for the monkey land, they are not even a credible threat but a nuisance. In a conflict with them, both China and Russia will stop supplying us. So Chinese or Russian systems won't work. Let's look at the western sources.
The US has varying geopolitical interests, there is no guarantee they will keep supplying if we purchased the F-16. They could just get into a deal with the monkey janta to give more power and authority to Suu-Kyi who is the darling of the west in exchange for not supplying BD. They could even use this to curb Chinese influence in Burma and get an entry to get more influence there.
There are 3 more western platforms, Typhoon, Gripen and Rafale. Gripen will have the same problem as F-16 because of US engine and other US components. Besides the Swedes have a policy of not supplying during wartime, I read it somewhere before.
Typhoon is made by a consortium of different countries, you will require all parties' agreement to keep getting supplied, which is even far harder than convincing the US.
Remains Rafale, it is 100% French. Unless there is extreme US pressure on French for whatever the reason may be, or French interest itself in a Burmese victory, there is little possibilty of the French stopping supplies.
There is another option I don't like to discuss, JF-17 from Pakistani source. No matter what happens, even if apocalypse started, Pakistan will supply BD, if requested they will even send few of their squadrons with pilots to help BD. Let's park this option for now.
So, to conclude, BD needs two systems from two sources. One workhorse with good capabilities and that is J-10. The other being highly advanced for special duties with the added advantage of scaring away the monkeys, if Rafales are here, monkies won't even dare.